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12607696656 = 243431192
BaseRepresentation
bin10111011110111101…
…00010111100010000
31012112122121100110000
423233132202330100
5201310032243111
65443014410000
7624300440052
oct135736427420
935478540400
1012607696656
11538a797115
12253a360900
13125c026749
148786098d2
154dbcadc56
hex2ef7a2f10

12607696656 has 75 divisors (see below), whose sum is σ = 36502035031. Its totient is φ = 4201218144.

The previous prime is 12607696649. The next prime is 12607696693. The reversal of 12607696656 is 65669670621.

The square root of 12607696656 is 112284.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 4040665 + ... + 4043783.

Almost surely, 212607696656 is an apocalyptic number.

12607696656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12607696656 is the 112284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12607696656

12607696656 is an abundant number, since it is smaller than the sum of its proper divisors (23894338375).

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

12607696656 is an frugal number, since it uses more digits than its factorization.

12607696656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 12607696656 in words is "twelve billion, six hundred seven million, six hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3119 6238 9357 12476 18714 24952 28071 37428 49904 56142 74856 84213 112284 149712 168426 224568 252639 336852 449136 505278 673704 1010556 1347408 2021112 4042224 9728161 19456322 29184483 38912644 58368966 77825288 87553449 116737932 155650576 175106898 233475864 262660347 350213796 466951728 525320694 700427592 787981041 1050641388 1400855184 1575962082 2101282776 3151924164 4202565552 6303848328 12607696656