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10556320968 = 2332754719427
BaseRepresentation
bin10011101010011010…
…01010110011001000
31000020200120200000200
421311031022303020
5133104404232333
64503254332200
7522411150654
oct116515126310
930220520020
1010556320968
11452784a206
12206735a060
13cc3031a8b
14721db9a64
1541bb4dc13
hex27534acc8

10556320968 has 48 divisors (see below), whose sum is σ = 28595296080. Its totient is φ = 3518126304.

The previous prime is 10556320921. The next prime is 10556320987. The reversal of 10556320968 is 86902365501.

10556320968 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 632 + 0 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×105563209682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533671 + ... + 553097.

It is an arithmetic number, because the mean of its divisors is an integer number (595735335).

Almost surely, 210556320968 is an apocalyptic number.

10556320968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10556320968 is an abundant number, since it is smaller than the sum of its proper divisors (18038975112).

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

10556320968 is a wasteful number, since it uses less digits than its factorization.

10556320968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26986 (or 26979 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10556320968 in words is "ten billion, five hundred fifty-six million, three hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7547 15094 19427 22641 30188 38854 45282 58281 60376 67923 77708 90564 116562 135846 155416 174843 181128 233124 271692 349686 466248 543384 699372 1398744 146615569 293231138 439846707 586462276 879693414 1172924552 1319540121 1759386828 2639080242 3518773656 5278160484 10556320968