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21377245258072 = 2311312833045563
BaseRepresentation
bin1001101110001010001110…
…00111000010000101011000
32210200122101222101122101001
410313011013013002011120
510300221044241224242
6113244323151434344
74334312031404314
oct467050707020530
983618358348331
1021377245258072
1168a204770a990
1224930782259b4
13bc0b338a0972
1453c94277cb44
152711104ceeb7
hex1371471c2158

21377245258072 has 96 divisors (see below), whose sum is σ = 45726585186240. Its totient is φ = 9290182324800.

The previous prime is 21377245258021. The next prime is 21377245258079. The reversal of 21377245258072 is 27085254277312.

It is a super-2 number, since 2×213772452580722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21377245258079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5496363 + ... + 8541925.

It is an arithmetic number, because the mean of its divisors is an integer number (476318595690).

Almost surely, 221377245258072 is an apocalyptic number.

21377245258072 is a gapful number since it is divisible by the number (22) 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 21377245258072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863292593120).

21377245258072 is an abundant number, since it is smaller than the sum of its proper divisors (24349339928168).

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

21377245258072 is a wasteful number, since it uses less digits than its factorization.

21377245258072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045725 (or 3045690 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 55.

The spelling of 21377245258072 in words is "twenty-one trillion, three hundred seventy-seven billion, two hundred forty-five million, two hundred fifty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 83 88 124 166 248 332 341 664 682 913 961 1364 1826 1922 2573 2728 3652 3844 5146 7304 7688 10292 10571 20584 21142 28303 42284 56606 79763 84568 113212 159526 226424 319052 638104 877393 1754786 3045563 3509572 6091126 7019144 12182252 24364504 33501193 67002386 94412453 134004772 188824906 252781729 268009544 377649812 505563458 755299624 1011126916 1038536983 2022253832 2077073966 2780599019 2926786043 4154147932 5561198038 5853572086 7836233599 8308295864 11122396076 11707144172 15672467198 22244792152 23414288344 31344934396 32194646473 62689868792 64389292946 86198569589 128778585892 172397139178 242923241569 257557171784 344794278356 485846483138 689588556712 971692966276 1943385932552 2672155657259 5344311314518 10688622629036 21377245258072