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10347479604 = 22327113732857
BaseRepresentation
bin10011010001100001…
…00000001000110100
3222201010121102112100
421220300200020310
5132142423321404
64430434222100
7514264061010
oct115060401064
928633542470
1010347479604
11442a978640
122009424930
13c8b9a03c7
14702375540
15408649d39
hex268c20234

10347479604 has 72 divisors (see below), whose sum is σ = 32610247488. Its totient is φ = 2687656320.

The previous prime is 10347479599. The next prime is 10347479621. The reversal of 10347479604 is 40697474301.

10347479604 is a `hidden beast` number, since 1 + 0 + 34 + 7 + 4 + 7 + 9 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10347479604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1863657 + ... + 1869200.

It is an arithmetic number, because the mean of its divisors is an integer number (452920104).

Almost surely, 210347479604 is an apocalyptic number.

10347479604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10347479604 is an abundant number, since it is smaller than the sum of its proper divisors (22262767884).

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

10347479604 is a wasteful number, since it uses less digits than its factorization.

10347479604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732885 (or 3732880 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10347479604 in words is "ten billion, three hundred forty-seven million, four hundred seventy-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3732857 7465714 11198571 14931428 22397142 26129999 33595713 41061427 44794284 52259998 67191426 78389997 82122854 104519996 123184281 134382852 156779994 164245708 235169991 246368562 287429989 313559988 369552843 470339982 492737124 574859978 739105686 862289967 940679964 1149719956 1478211372 1724579934 2586869901 3449159868 5173739802 10347479604