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10639991232 = 2632132109303
BaseRepresentation
bin10011110100011000…
…10110000111000000
31000110112000120001100
421322030112013000
5133242314204412
64515443534400
7524445301413
oct117214260700
930415016040
1010639991232
11456aaa7992
12208b38a400
131007478900
1472d159b7a
15424179edc
hex27a3161c0

10639991232 has 126 divisors (see below), whose sum is σ = 33024345432. Its totient is φ = 3273813504.

The previous prime is 10639991231. The next prime is 10639991237. The reversal of 10639991232 is 23219993601.

10639991232 is a `hidden beast` number, since 1 + 0 + 639 + 9 + 9 + 1 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×106399912322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10639991231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42693 + ... + 151995.

Almost surely, 210639991232 is an apocalyptic number.

10639991232 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 10639991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512172716).

10639991232 is an abundant number, since it is smaller than the sum of its proper divisors (22384354200).

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

10639991232 is a wasteful number, since it uses less digits than its factorization.

10639991232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109347 (or 109321 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 10639991232 in words is "ten billion, six hundred thirty-nine million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344 109303 218606 327909 437212 655818 874424 983727 1311636 1420939 1748848 1967454 2623272 2841878 3497696 3934908 4262817 5246544 5683756 6995392 7869816 8525634 10493088 11367512 12788451 15739632 17051268 18472207 20986176 22735024 25576902 31479264 34102536 36944414 45470048 51153804 55416621 62958528 68205072 73888828 90940096 102307608 110833242 136410144 147777656 166249863 204615216 221666484 272820288 295555312 332499726 409230432 443332968 591110624 664999452 818460864 886665936 1182221248 1329998904 1773331872 2659997808 3546663744 5319995616 10639991232