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13403770985232 = 2433531394211653
BaseRepresentation
bin1100001100001100111100…
…0000100001101100010000
31202110101110211211210112000
43003003033000201230100
53224101410333011412
644301335110034000
72552250640345425
oct303031700415420
952411424753460
1013403770985232
1142a8564316111
1216058a7948900
13762c7c642464
14344a62d65d4c
151839e21694dc
hexc30cf021b10

13403770985232 has 160 divisors (see below), whose sum is σ = 39481729257600. Its totient is φ = 4352085324288.

The previous prime is 13403770985203. The next prime is 13403770985251. The reversal of 13403770985232 is 23258907730431.

It is a happy number.

13403770985232 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 7 + 70 + 9 + 8 + 523 + 2 = 666.

It is a super-2 number, since 2×134037709852322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1076718 + ... + 5288370.

It is an arithmetic number, because the mean of its divisors is an integer number (246760807860).

Almost surely, 213403770985232 is an apocalyptic number.

13403770985232 is a gapful number since it is divisible by the number (12) 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 13403770985232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740864628800).

13403770985232 is an abundant number, since it is smaller than the sum of its proper divisors (26077958272368).

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

13403770985232 is a wasteful number, since it uses less digits than its factorization.

13403770985232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211862 (or 4211850 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13403770985232 in words is "thirteen trillion, four hundred three billion, seven hundred seventy million, nine hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 139 144 159 212 216 278 318 417 424 432 477 556 636 834 848 954 1112 1251 1272 1431 1668 1908 2224 2502 2544 2862 3336 3753 3816 5004 5724 6672 7367 7506 7632 10008 11448 14734 15012 20016 22101 22896 29468 30024 44202 58936 60048 66303 88404 117872 132606 176808 198909 265212 353616 397818 530424 795636 1060848 1591272 3182544 4211653 8423306 12634959 16846612 25269918 33693224 37904877 50539836 67386448 75809754 101079672 113714631 151619508 202159344 223217609 227429262 303239016 446435218 454858524 585419767 606478032 669652827 892870436 909717048 1170839534 1339305654 1756259301 1785740872 1819434096 2008958481 2341679068 2678611308 3512518602 3571481744 4017916962 4683358136 5268777903 5357222616 6026875443 7025037204 8035833924 9366716272 10537555806 10714445232 12053750886 14050074408 15806333709 16071667848 21075111612 24107501772 28100148816 31027247651 31612667418 32143335696 42150223224 48215003544 62054495302 63225334836 84300446448 93081742953 96430007088 124108990604 126450669672 186163485906 248217981208 252901339344 279245228859 372326971812 496435962416 558490457718 744653943624 837735686577 1116980915436 1489307887248 1675471373154 2233961830872 3350942746308 4467923661744 6701885492616 13403770985232