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232148696325 = 3527133414909
BaseRepresentation
bin1101100000110100100…
…0111111110100000101
3211012012211201200002220
43120031020333310011
512300420031240300
6254351520122553
722525601234430
oct3301510776405
9735184650086
10232148696325
118a4a9983617
1238baa166459
1318b788c2000
14b343a50817
15608aa33da0
hex360d23fd05

232148696325 has 192 divisors, whose sum is σ = 486877171200. Its totient is φ = 95552870400.

The previous prime is 232148696281. The next prime is 232148696333. The reversal of 232148696325 is 523696841232.

232148696325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232148696325 - 211 = 232148694277 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 47287971 + ... + 47292879.

It is an arithmetic number, because the mean of its divisors is an integer number (2535818600).

Almost surely, 2232148696325 is an apocalyptic number.

232148696325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232148696325 is an abundant number, since it is smaller than the sum of its proper divisors (254728474875).

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

232148696325 is a wasteful number, since it uses less digits than its factorization.

232148696325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4978 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 232148696325 in words is "two hundred thirty-two billion, one hundred forty-eight million, six hundred ninety-six thousand, three hundred twenty-five".