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238461357345 = 3519836706517
BaseRepresentation
bin1101111000010101100…
…1111000110100100001
3211210111210010002001220
43132011121320310201
512401332101413340
6301314142245253
723141203044111
oct3360531706441
9753453102056
10238461357345
1192149246242
123a270286829
131964369c6a3
14b7821ab041
156309d2bed0
hex3785678d21

238461357345 has 16 divisors (see below), whose sum is σ = 401619128640. Its totient is φ = 120485738304.

The previous prime is 238461357331. The next prime is 238461357353. The reversal of 238461357345 is 543753164832.

It is a happy number.

238461357345 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 238461357345 - 217 = 238461226273 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 418352974 + ... + 418353543.

It is an arithmetic number, because the mean of its divisors is an integer number (25101195540).

Almost surely, 2238461357345 is an apocalyptic number.

It is an amenable number.

238461357345 is a deficient number, since it is larger than the sum of its proper divisors (163157771295).

238461357345 is a wasteful number, since it uses less digits than its factorization.

238461357345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836706544.

The product of its digits is 7257600, while the sum is 51.

The spelling of 238461357345 in words is "two hundred thirty-eight billion, four hundred sixty-one million, three hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 285 836706517 2510119551 4183532585 12550597755 15897423823 47692271469 79487119115 238461357345