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12864763904 = 21131972089
BaseRepresentation
bin10111111101100110…
…01011100000000000
31020012120022201102012
423332303023200000
5202321334421104
65524320312052
7633541455206
oct137663134000
936176281365
1012864763904
115501907593
1225b0472628
1312a0371b45
148a0805076
1550463bd6e
hex2feccb800

12864763904 has 96 divisors (see below), whose sum is σ = 26839612800. Its totient is φ = 6157762560.

The previous prime is 12864763871. The next prime is 12864763931. The reversal of 12864763904 is 40936746821.

It is a super-2 number, since 2×128647639042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6157292 + ... + 6159380.

It is an arithmetic number, because the mean of its divisors is an integer number (279579300).

Almost surely, 212864763904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12864763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419806400).

12864763904 is an abundant number, since it is smaller than the sum of its proper divisors (13974848896).

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

12864763904 is an equidigital number, since it uses as much as digits as its factorization.

12864763904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 12864763904 in words is "twelve billion, eight hundred sixty-four million, seven hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 97 124 128 194 248 256 388 496 512 776 992 1024 1552 1984 2048 2089 3007 3104 3968 4178 6014 6208 7936 8356 12028 12416 15872 16712 24056 24832 31744 33424 48112 49664 63488 64759 66848 96224 99328 129518 133696 192448 198656 202633 259036 267392 384896 405266 518072 534784 769792 810532 1036144 1069568 1539584 1621064 2072288 2139136 3079168 3242128 4144576 4278272 6158336 6281623 6484256 8289152 12563246 12968512 16578304 25126492 25937024 33156608 50252984 51874048 66313216 100505968 103748096 132626432 201011936 207496192 402023872 414992384 804047744 1608095488 3216190976 6432381952 12864763904