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12491638756 = 22292412472
BaseRepresentation
bin10111010001000111…
…10100011111100100
31012020120012222221021
423220203310133210
5201040324420011
65423311100524
7621361114612
oct135043643744
935216188837
1012491638756
1153302280a3
122507511744
131240c7cc2c
148670386b2
154d19d6471
hex2e88f47e4

12491638756 has 81 divisors (see below), whose sum is σ = 23710080667. Its totient is φ = 5758184320.

The previous prime is 12491638729. The next prime is 12491638793. The reversal of 12491638756 is 65783619421.

The square root of 12491638756 is 111766.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3298664356 + 9192974400 = 57434^2 + 95880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265779525 + ... + 265779571.

Almost surely, 212491638756 is an apocalyptic number.

12491638756 is the 111766-th square number.

It is an amenable number.

12491638756 is a deficient number, since it is larger than the sum of its proper divisors (11218441911).

12491638756 is an equidigital number, since it uses as much as digits as its factorization.

12491638756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 12491638756 in words is "twelve billion, four hundred ninety-one million, six hundred thirty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 29 41 47 58 82 94 116 164 188 841 1189 1363 1681 1682 1927 2209 2378 2726 3362 3364 3854 4418 4756 5452 6724 7708 8836 34481 39527 48749 55883 64061 68962 79007 79054 90569 97498 111766 128122 137924 158014 158108 181138 194996 223532 256244 316028 362276 1413721 1620607 1857769 2291203 2626501 2827442 3241214 3713329 3715538 4582406 5253002 5654884 6482428 7426658 7431076 9164812 10506004 14853316 66444887 76168529 107686541 132889774 152337058 215373082 265779548 304674116 430746164 3122909689 6245819378 12491638756