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232342797960 = 23325713371031861
BaseRepresentation
bin1101100001100010110…
…1011011111010001000
3211012201100222001111100
43120120231123322020
512301314224013320
6254423052301400
722533446124420
oct3303055337210
9735640861440
10232342797960
118a5994a7a99
1239043171860
1318ba9b92650
14b361739480
15609cac5790
hex3618b5be88

232342797960 has 768 divisors, whose sum is σ = 964274088960. Its totient is φ = 47208407040.

The previous prime is 232342797943. The next prime is 232342797961. The reversal of 232342797960 is 69797243232.

232342797960 is a `hidden beast` number, since 23 + 23 + 427 + 97 + 96 + 0 = 666.

232342797960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232342797897 and 232342797906.

It is not an unprimeable number, because it can be changed into a prime (232342797961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124847430 + ... + 124849290.

It is an arithmetic number, because the mean of its divisors is an integer number (1255565220).

Almost surely, 2232342797960 is an apocalyptic number.

232342797960 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 232342797960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482137044480).

232342797960 is an abundant number, since it is smaller than the sum of its proper divisors (731931291000).

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

232342797960 is a wasteful number, since it uses less digits than its factorization.

232342797960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 232342797960 in words is "two hundred thirty-two billion, three hundred forty-two million, seven hundred ninety-seven thousand, nine hundred sixty".