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11433664032 = 253731548851
BaseRepresentation
bin10101010010111111…
…11101111000100000
31002111211110022110020
422221133331320200
5141404004222112
65130315033440
7553223353320
oct125137757040
932454408406
1011433664032
11493800701a
12227113b880
131102a2489b
147a6719280
1546dba248c
hex2a97fde20

11433664032 has 96 divisors (see below), whose sum is σ = 35407540224. Its totient is φ = 3161376000.

The previous prime is 11433664013. The next prime is 11433664037. The reversal of 11433664032 is 23046633411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11433663984 and 11433664002.

It is not an unprimeable number, because it can be changed into a prime (11433664037) 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 15 ways as a sum of consecutive naturals, for example, 253594 + ... + 295257.

It is an arithmetic number, because the mean of its divisors is an integer number (368828544).

Almost surely, 211433664032 is an apocalyptic number.

11433664032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11433664032 is an abundant number, since it is smaller than the sum of its proper divisors (23973876192).

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

11433664032 is a wasteful number, since it uses less digits than its factorization.

11433664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548902 (or 548894 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 11433664032 in words is "eleven billion, four hundred thirty-three million, six hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 548851 1097702 1646553 2195404 3293106 3841957 4390808 6586212 7683914 8781616 11525871 13172424 15367828 17014381 17563232 23051742 26344848 30735656 34028762 46103484 51043143 52689696 61471312 68057524 92206968 102086286 119100667 122942624 136115048 184413936 204172572 238201334 272230096 357302001 368827872 408345144 476402668 544460192 714604002 816690288 952805336 1429208004 1633380576 1905610672 2858416008 3811221344 5716832016 11433664032