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138201957 = 344339679
BaseRepresentation
bin10000011110011…
…00101101100101
3100122001101110000
420033030231211
5240334430312
621414051513
73265461105
oct1017145545
9318041400
10138201957
11710141a3
123a349b99
132282ab0a
14144d7205
15c1edadc
hex83ccb65

138201957 has 20 divisors (see below), whose sum is σ = 211256320. Its totient is φ = 89989704.

The previous prime is 138201941. The next prime is 138201961. The reversal of 138201957 is 759102831.

138201957 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 138201957 - 24 = 138201941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138201967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16357 + ... + 23322.

It is an arithmetic number, because the mean of its divisors is an integer number (10562816).

Almost surely, 2138201957 is an apocalyptic number.

It is an amenable number.

138201957 is a deficient number, since it is larger than the sum of its proper divisors (73054363).

138201957 is an equidigital number, since it uses as much as digits as its factorization.

138201957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39734 (or 39725 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 138201957 is about 11755.9328426119. The cubic root of 138201957 is about 517.0168900298.

The spelling of 138201957 in words is "one hundred thirty-eight million, two hundred one thousand, nine hundred fifty-seven".

Divisors: 1 3 9 27 43 81 129 387 1161 3483 39679 119037 357111 1071333 1706197 3213999 5118591 15355773 46067319 138201957