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12264780864 = 26379125581
BaseRepresentation
bin10110110110000100…
…11011010001000000
31011122202100102102010
423123002123101000
5200104240441424
65345004452520
7612634626420
oct133302332100
934582312363
1012264780864
115224170436
12246354a140
131205c80bab
14844c64480
154bbb24229
hex2db09b440

12264780864 has 56 divisors (see below), whose sum is σ = 37086365248. Its totient is φ = 3504222720.

The previous prime is 12264780809. The next prime is 12264780971. The reversal of 12264780864 is 46808746221.

It is a tau number, because it is divible by the number of its divisors (56).

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

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, 4561447 + ... + 4564134.

Almost surely, 212264780864 is an apocalyptic number.

12264780864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12264780864 is an abundant number, since it is smaller than the sum of its proper divisors (24821584384).

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

12264780864 is an equidigital number, since it uses as much as digits as its factorization.

12264780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125603 (or 9125593 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 12264780864 in words is "twelve billion, two hundred sixty-four million, seven hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 9125581 18251162 27376743 36502324 54753486 63879067 73004648 109506972 127758134 146009296 191637201 219013944 255516268 292018592 383274402 438027888 511032536 584037184 766548804 876055776 1022065072 1533097608 1752111552 2044130144 3066195216 4088260288 6132390432 12264780864