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12401605657 = 72739833527
BaseRepresentation
bin10111000110011000…
…10111110000011001
31012000021210211202001
423203030113300121
5200344302340112
65410333241001
7616215623500
oct134314276031
935007724661
1012401605657
115294423981
1224a1333161
131228418bcc
148590bd837
154c8b4ec57
hex2e3317c19

12401605657 has 24 divisors (see below), whose sum is σ = 14643006336. Its totient is φ = 10470696768.

The previous prime is 12401605649. The next prime is 12401605663. The reversal of 12401605657 is 75650610421.

It is a happy number.

12401605657 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 12401605657 - 23 = 12401605649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12401605687) 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, 3514428 + ... + 3517954.

It is an arithmetic number, because the mean of its divisors is an integer number (610125264).

Almost surely, 212401605657 is an apocalyptic number.

It is an amenable number.

12401605657 is a deficient number, since it is larger than the sum of its proper divisors (2241400679).

12401605657 is an equidigital number, since it uses as much as digits as its factorization.

12401605657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 12401605657 in words is "twelve billion, four hundred one million, six hundred five thousand, six hundred fifty-seven".

Divisors: 1 7 49 73 511 983 3527 3577 6881 24689 48167 71759 172823 257471 502313 1802297 3467041 3516191 12616079 24269287 169885009 253093993 1771657951 12401605657