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16156746144 = 25327111722521
BaseRepresentation
bin11110000110000010…
…00110000110100000
31112200222202202002100
433003001012012200
5231042111334034
611231115050400
71111244035110
oct170301060640
945628682070
1016156746144
116941075570
12316aa40a00
1316a63a7926
14ad3ad5040
15648659099
hex3c30461a0

16156746144 has 432 divisors, whose sum is σ = 60874946496. Its totient is φ = 3948134400.

The previous prime is 16156746131. The next prime is 16156746163. The reversal of 16156746144 is 44164765161.

16156746144 is a `hidden beast` number, since 1 + 6 + 1 + 567 + 46 + 1 + 44 = 666.

It is a super-2 number, since 2×161567461442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16156746144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6407604 + ... + 6410124.

It is an arithmetic number, because the mean of its divisors is an integer number (140914228).

Almost surely, 216156746144 is an apocalyptic number.

16156746144 is a gapful number since it is divisible by the number (14) 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 16156746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30437473248).

16156746144 is an abundant number, since it is smaller than the sum of its proper divisors (44718200352).

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

16156746144 is a wasteful number, since it uses less digits than its factorization.

16156746144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2561 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 16156746144 in words is "sixteen billion, one hundred fifty-six million, seven hundred forty-six thousand, one hundred forty-four".