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132220134051536 = 241737113125992347
BaseRepresentation
bin11110000100000011100110…
…000111110100111011010000
3122100011010021110220121121202
4132010003212013310323100
5114312243313304122121
61145113031355410332
736564406115604326
oct3604034607647320
9570133243817552
10132220134051536
1139147275778123
12129b51934539a8
1358a13c7519c8b
1424916bab4bd16
1510445383e540b
hex7840e61f4ed0

132220134051536 has 160 divisors (see below), whose sum is σ = 281268233930880. Its totient is φ = 59955526729728.

The previous prime is 132220134051503. The next prime is 132220134051589. The reversal of 132220134051536 is 635150431022231.

It is a super-2 number, since 2×1322201340515362 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132220134051536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431728915 + ... + 1431821261.

It is an arithmetic number, because the mean of its divisors is an integer number (1757926462068).

Almost surely, 2132220134051536 is an apocalyptic number.

132220134051536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132220134051536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140634116965440).

132220134051536 is an abundant number, since it is smaller than the sum of its proper divisors (149048099879344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132220134051536 is a wasteful number, since it uses less digits than its factorization.

132220134051536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93781 (or 93775 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 132220134051536 its reverse (635150431022231), we get a palindrome (767370565073767).

The spelling of 132220134051536 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-four million, fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 113 136 148 226 272 296 452 592 629 904 1258 1259 1808 1921 2516 2518 3842 4181 5032 5036 7684 8362 10064 10072 15368 16724 20144 21403 30736 33448 42806 46583 66896 71077 85612 92347 93166 142154 142267 171224 184694 186332 284308 284534 342448 369388 372664 568616 569068 738776 745328 791911 1137232 1138136 1477552 1569899 1583822 2276272 2418539 3139798 3167644 3416839 4837078 5263879 6279596 6335288 6833678 9674156 10435211 10527758 12559192 12670576 13667356 19348312 20870422 21055516 25118384 27334712 38696624 41740844 42111032 54669424 58086263 83481688 84222064 89485943 116172526 116264873 166963376 177398587 178971886 232345052 232529746 354797174 357943772 386102807 464690104 465059492 709594348 715887544 772205614 929380208 930118984 1419188696 1431775088 1544411228 1860237968 1976502841 2838377392 3088822456 3953005682 4301800301 6177644912 6563747719 7906011364 8603600602 13127495438 13137930649 15812022728 17207201204 26254990876 26275861298 31624045456 34414402408 52509981752 52551722596 68828804816 73130605117 105019963504 105103445192 146261210234 210206890384 223344821033 292522420468 446689642066 486103434013 585044840936 893379284132 972206868026 1170089681872 1786758568264 1944413736052 3573517136528 3888827472104 7777654944208 8263758378221 16527516756442 33055033512884 66110067025768 132220134051536