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161936056800 = 253252717331571
BaseRepresentation
bin1001011011010000100…
…1000010000111100000
3120110222121021000122100
42112310021002013200
510123121112304200
6202220431410400
714461632525450
oct2266411020740
9513877230570
10161936056800
1162749756301
1227474083a00
13123693b626b
147ba2ac5d60
15432b91dd00
hex25b42421e0

161936056800 has 864 divisors, whose sum is σ = 694292062464. Its totient is φ = 34670592000.

The previous prime is 161936056769. The next prime is 161936056801. The reversal of 161936056800 is 8650639161.

161936056800 is a `hidden beast` number, since 16 + 19 + 3 + 60 + 568 + 0 + 0 = 666.

161936056800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161936056801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283600515 + ... + 283601085.

It is an arithmetic number, because the mean of its divisors is an integer number (803578776).

Almost surely, 2161936056800 is an apocalyptic number.

161936056800 is a gapful number since it is divisible by the number (10) 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 161936056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347146031232).

161936056800 is an abundant number, since it is smaller than the sum of its proper divisors (532356005664).

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

161936056800 is a wasteful number, since it uses less digits than its factorization.

161936056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 161936056800 in words is "one hundred sixty-one billion, nine hundred thirty-six million, fifty-six thousand, eight hundred".