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12862318656 = 2631128121673
BaseRepresentation
bin10111111101010011…
…10110100001000000
31020012101201111011110
423332221312201000
5202320223144111
65524152043320
7633511622205
oct137651664100
936171644143
1012862318656
115500497420
1225ab693540
13129c9c6b55
148a0369cac
155043075a6
hex2fea76840

12862318656 has 112 divisors (see below), whose sum is σ = 37259166528. Its totient is φ = 3883622400.

The previous prime is 12862318639. The next prime is 12862318673. The reversal of 12862318656 is 65681326821.

It is a happy number.

12862318656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12862318639) and next prime (12862318673).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582636 + ... + 604308.

Almost surely, 212862318656 is an apocalyptic number.

12862318656 is a gapful number since it is divisible by the number (16) 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 12862318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629583264).

12862318656 is an abundant number, since it is smaller than the sum of its proper divisors (24396847872).

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

12862318656 is a wasteful number, since it uses less digits than its factorization.

12862318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21980 (or 21970 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 12862318656 in words is "twelve billion, eight hundred sixty-two million, three hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 281 352 528 562 704 843 1056 1124 1686 2112 2248 3091 3372 4496 6182 6744 8992 9273 12364 13488 17984 18546 21673 24728 26976 37092 43346 49456 53952 65019 74184 86692 98912 130038 148368 173384 197824 238403 260076 296736 346768 476806 520152 593472 693536 715209 953612 1040304 1387072 1430418 1907224 2080608 2860836 3814448 4161216 5721672 6090113 7628896 11443344 12180226 15257792 18270339 22886688 24360452 36540678 45773376 48720904 66991243 73081356 97441808 133982486 146162712 194883616 200973729 267964972 292325424 389767232 401947458 535929944 584650848 803894916 1071859888 1169301696 1607789832 2143719776 3215579664 4287439552 6431159328 12862318656