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232942894272 = 26321131267571
BaseRepresentation
bin1101100011110001111…
…0100111110011000000
3211021021012011002212200
43120330132213303000
512304031340104042
6255002410353200
722554353634354
oct3307436476300
9737235132780
10232942894272
118a877211260
123919012b800
1318c742c301a
14b3bb309464
1560d5611c4c
hex363c7a7cc0

232942894272 has 504 divisors, whose sum is σ = 765213299136. Its totient is φ = 67174272000.

The previous prime is 232942894259. The next prime is 232942894307. The reversal of 232942894272 is 272498249232.

232942894272 is a `hidden beast` number, since 2 + 3 + 2 + 94 + 289 + 4 + 272 = 666.

232942894272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 407955747 + ... + 407956317.

Almost surely, 2232942894272 is an apocalyptic number.

232942894272 is a gapful number since it is divisible by the number (22) 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 232942894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382606649568).

232942894272 is an abundant number, since it is smaller than the sum of its proper divisors (532270404864).

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

232942894272 is a wasteful number, since it uses less digits than its factorization.

232942894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 685 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 232942894272 in words is "two hundred thirty-two billion, nine hundred forty-two million, eight hundred ninety-four thousand, two hundred seventy-two".