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12699776448 = 263231222943
BaseRepresentation
bin10111101001111011…
…10011010111000000
31012210001212111011200
423310331303113000
5202002120321243
65500104141200
7626466214212
oct136475632700
935701774150
1012699776448
115427769017
122565167800
131275126228
148869385b2
154e4debad3
hex2f4f735c0

12699776448 has 126 divisors (see below), whose sum is σ = 37615380192. Its totient is φ = 4096523520.

The previous prime is 12699776443. The next prime is 12699776513. The reversal of 12699776448 is 84467799621.

It is a super-2 number, since 2×126997764482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12699776443) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 542065 + ... + 565007.

Almost surely, 212699776448 is an apocalyptic number.

12699776448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12699776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807690096).

12699776448 is an abundant number, since it is smaller than the sum of its proper divisors (24915603744).

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

12699776448 is a wasteful number, since it uses less digits than its factorization.

12699776448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23023 (or 22979 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 12699776448 in words is "twelve billion, six hundred ninety-nine million, seven hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 961 992 1116 1488 1922 1984 2232 2883 2976 3844 4464 5766 5952 7688 8649 8928 11532 15376 17298 17856 22943 23064 30752 34596 45886 46128 61504 68829 69192 91772 92256 137658 138384 183544 184512 206487 275316 276768 367088 412974 550632 553536 711233 734176 825948 1101264 1422466 1468352 1651896 2133699 2202528 2844932 3303792 4267398 4405056 5689864 6401097 6607584 8534796 11379728 12802194 13215168 17069592 22048223 22759456 25604388 34139184 44096446 45518912 51208776 66144669 68278368 88192892 102417552 132289338 136556736 176385784 198434007 204835104 264578676 352771568 396868014 409670208 529157352 705543136 793736028 1058314704 1411086272 1587472056 2116629408 3174944112 4233258816 6349888224 12699776448