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12401605656 = 2333115219531
BaseRepresentation
bin10111000110011000…
…10111110000011000
31012000021210211202000
423203030113300120
5200344302340111
65410333241000
7616215623466
oct134314276030
935007724660
1012401605656
115294423980
1224a1333160
131228418bcb
148590bd836
154c8b4ec56
hex2e3317c18

12401605656 has 64 divisors (see below), whose sum is σ = 37580630400. Its totient is φ = 3758061600.

The previous prime is 12401605649. The next prime is 12401605663. The reversal of 12401605656 is 65650610421.

12401605656 is a `hidden beast` number, since 1 + 2 + 40 + 1 + 605 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12401605649) and next prime (12401605663).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12401605656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2607390 + ... + 2612141.

It is an arithmetic number, because the mean of its divisors is an integer number (587197350).

Almost surely, 212401605656 is an apocalyptic number.

It is an amenable number.

12401605656 is an abundant number, since it is smaller than the sum of its proper divisors (25179024744).

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

12401605656 is a wasteful number, since it uses less digits than its factorization.

12401605656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219557 (or 5219547 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12401605656 in words is "twelve billion, four hundred one million, six hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5219531 10439062 15658593 20878124 31317186 41756248 46975779 57414841 62634372 93951558 114829682 125268744 140927337 172244523 187903116 229659364 281854674 344489046 375806232 459318728 516733569 563709348 688978092 1033467138 1127418696 1377956184 1550200707 2066934276 3100401414 4133868552 6200802828 12401605656