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232138948864 = 28301132
BaseRepresentation
bin1101100000110010001…
…1110100000100000000
3211012012011101110002211
43120030203310010000
512300410032330424
6254350531151504
722525422336244
oct3301443640400
9735164343084
10232138948864
118a4a4426169
1238ba6a45594
1318b7688b394
14b342634424
156089c5ab94
hex360c8f4100

232138948864 has 27 divisors (see below), whose sum is σ = 463386493213. Its totient is φ = 116065619968.

The previous prime is 232138948829. The next prime is 232138948883. The reversal of 232138948864 is 468849831232.

It is a happy number.

The square root of 232138948864 is 481808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 216113414400 + 16025534464 = 464880^2 + 126592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232138948799 and 232138948808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7693872 + ... + 7723984.

Almost surely, 2232138948864 is an apocalyptic number.

232138948864 is the 481808-th square number.

It is an amenable number.

232138948864 is a deficient number, since it is larger than the sum of its proper divisors (231247544349).

232138948864 is an frugal number, since it uses more digits than its factorization.

232138948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60242 (or 30115 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 58.

The spelling of 232138948864 in words is "two hundred thirty-two billion, one hundred thirty-eight million, nine hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 30113 60226 120452 240904 481808 963616 1927232 3854464 7708928 906792769 1813585538 3627171076 7254342152 14508684304 29017368608 58034737216 116069474432 232138948864