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11976397056 = 283213399853
BaseRepresentation
bin10110010011101100…
…10101000100000000
31010220122201000012100
423021312111010000
5144011424201211
65300223430400
7602533460331
oct131166250400
933818630170
1011976397056
115096400408
1223a2a55400
13118b2bc4a0
14818836288
154a165c156
hex2c9d95100

11976397056 has 108 divisors (see below), whose sum is σ = 37187221708. Its totient is φ = 3685036032.

The previous prime is 11976397049. The next prime is 11976397057. The reversal of 11976397056 is 65079367911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6792397056 + 5184000000 = 82416^2 + 72000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11976396993 and 11976397011.

It is not an unprimeable number, because it can be changed into a prime (11976397057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169975 + ... + 229878.

Almost surely, 211976397056 is an apocalyptic number.

11976397056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11976397056 is an abundant number, since it is smaller than the sum of its proper divisors (25210824652).

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

11976397056 is a wasteful number, since it uses less digits than its factorization.

11976397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399888 (or 399871 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 11976397056 in words is "eleven billion, nine hundred seventy-six million, three hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 399853 799706 1199559 1599412 2399118 3198824 3598677 4798236 5198089 6397648 7197354 9596472 10396178 12795296 14394708 15594267 19192944 20792356 25590592 28789416 31188534 38385888 41584712 46782801 51181184 57578832 62377068 76771776 83169424 93565602 102362368 115157664 124754136 153543552 166338848 187131204 230315328 249508272 307087104 332677696 374262408 460630656 499016544 665355392 748524816 921261312 998033088 1330710784 1497049632 1996066176 2994099264 3992132352 5988198528 11976397056