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232161343369920 = 2634529509606791
BaseRepresentation
bin110100110010011001000110…
…011001101111001011000000
31010110000102000012012002010000
4310302121012121233023000
5220412212412400314140
62141433240534040000
766621050341360506
oct6462310631571300
91113012005162100
10232161343369920
1167a79088998018
12220565101a9000
139c7094a610743
144148951944676
151bc90b16dda30
hexd3264666f2c0

232161343369920 has 560 divisors, whose sum is σ = 855995770555200. Its totient is φ = 59657340395520.

The previous prime is 232161343369841. The next prime is 232161343369961. The reversal of 232161343369920 is 29963343161232.

232161343369920 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 61 + 3 + 433 + 69 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 382301725 + ... + 382908515.

Almost surely, 2232161343369920 is an apocalyptic number.

232161343369920 is a gapful number since it is divisible by the number (20) 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 232161343369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427997885277600).

232161343369920 is an abundant number, since it is smaller than the sum of its proper divisors (623834427185280).

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

232161343369920 is a wasteful number, since it uses less digits than its factorization.

232161343369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607358 (or 607339 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 232161343369920 in words is "two hundred thirty-two trillion, one hundred sixty-one billion, three hundred forty-three million, three hundred sixty-nine thousand, nine hundred twenty".