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15997000680 = 23325173184319
BaseRepresentation
bin11101110010111111…
…01101101111101000
31112021212011211111200
432321133231233220
5230230213010210
611203211124200
71104264155643
oct167137555750
945255154450
1015997000680
116869987421
123125443660
13167c275c9b
14aba7d0a5a
156396020c0
hex3b97edbe8

15997000680 has 192 divisors, whose sum is σ = 56824934400. Its totient is φ = 3885373440.

The previous prime is 15997000609. The next prime is 15997000703. The reversal of 15997000680 is 8600079951.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147561 + ... + 231879.

It is an arithmetic number, because the mean of its divisors is an integer number (295963200).

Almost surely, 215997000680 is an apocalyptic number.

15997000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15997000680 is the 63240-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15997000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28412467200).

15997000680 is an abundant number, since it is smaller than the sum of its proper divisors (40827933720).

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

15997000680 is a wasteful number, since it uses less digits than its factorization.

15997000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84384 (or 84377 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 15997000680 in words is "fifteen billion, nine hundred ninety-seven million, six hundred eighty", and thus it is an aban number.