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125768601 = 32717117431
BaseRepresentation
bin1110111111100…
…01001110011001
322202122201002100
413133301032121
5224144043401
620251354013
73055005210
oct737611631
9282581070
10125768601
1164aa18a2
1236152909
13200967ba
14129bc077
15b094b86
hex77f1399

125768601 has 24 divisors (see below), whose sum is σ = 219832704. Its totient is φ = 67639680.

The previous prime is 125768537. The next prime is 125768609. The reversal of 125768601 is 106867521.

125768601 is a `hidden beast` number, since 1 + 2 + 576 + 86 + 0 + 1 = 666.

It is not a de Polignac number, because 125768601 - 26 = 125768537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125768609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57645 + ... + 59786.

It is an arithmetic number, because the mean of its divisors is an integer number (9159696).

Almost surely, 2125768601 is an apocalyptic number.

It is an amenable number.

125768601 is a deficient number, since it is larger than the sum of its proper divisors (94064103).

125768601 is a wasteful number, since it uses less digits than its factorization.

125768601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117461 (or 117458 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125768601 is about 11214.6600929319. The cubic root of 125768601 is about 501.0227080436.

The spelling of 125768601 in words is "one hundred twenty-five million, seven hundred sixty-eight thousand, six hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 117431 352293 822017 1056879 1996327 2466051 5988981 7398153 13974289 17966943 41922867 125768601