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23156103979008 = 2133372111367223
BaseRepresentation
bin1010100001111011100110…
…10110100010000000000000
310000222200221200220120001000
411100331303112202000000
511013342200104312013
6121125433423412000
74606654562142300
oct520756326420000
9100880850816030
1023156103979008
1174184a3021710
12271b984454000
13cbc7c3b66790
145a0a9345d600
152a2523ed0973
hex150f735a2000

23156103979008 has 2688 divisors, whose sum is σ = 95586044682240. Its totient is φ = 5444523786240.

The previous prime is 23156103978947. The next prime is 23156103979037. The reversal of 23156103979008 is 80097930165132.

23156103979008 is a `hidden beast` number, since 2 + 3 + 1 + 561 + 0 + 3 + 9 + 79 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103839031185 + ... + 103839031407.

It is an arithmetic number, because the mean of its divisors is an integer number (35560284480).

Almost surely, 223156103979008 is an apocalyptic number.

23156103979008 is a gapful number since it is divisible by the number (28) 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 23156103979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47793022341120).

23156103979008 is an abundant number, since it is smaller than the sum of its proper divisors (72429940703232).

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

23156103979008 is a wasteful number, since it uses less digits than its factorization.

23156103979008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 23156103979008 in words is "twenty-three trillion, one hundred fifty-six billion, one hundred three million, nine hundred seventy-nine thousand, eight".