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15972116000 = 25533993029
BaseRepresentation
bin11101110000000001…
…10010011000100000
31112020010100120010212
432320000302120200
5230202330203000
611200521513252
71103542513601
oct167000623040
945203316125
1015972116000
116856930175
123119042828
131677072419
14ab7393da8
15637338c35
hex3b8032620

15972116000 has 48 divisors (see below), whose sum is σ = 39243498840. Its totient is φ = 6388844800.

The previous prime is 15972115969. The next prime is 15972116101. The reversal of 15972116000 is 61127951.

It can be written as a sum of positive squares in 4 ways, for example, as 5805830416 + 10166285584 = 76196^2 + 100828^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1992515 + ... + 2000514.

Almost surely, 215972116000 is an apocalyptic number.

15972116000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15972116000 is an abundant number, since it is smaller than the sum of its proper divisors (23271382840).

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

15972116000 is an equidigital number, since it uses as much as digits as its factorization.

15972116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993054 (or 3993036 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 15972116000 in words is "fifteen billion, nine hundred seventy-two million, one hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3993029 7986058 15972116 19965145 31944232 39930290 63888464 79860580 99825725 127776928 159721160 199651450 319442320 399302900 499128625 638884640 798605800 998257250 1597211600 1996514500 3194423200 3993029000 7986058000 15972116000