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12928205376 = 2632197113933
BaseRepresentation
bin11000000101001010…
…01100001001000000
31020100222200212202100
430002211030021000
5202434110033001
65534504150400
7635241634602
oct140245141100
936328625670
1012928205376
1155346a9059
122609768400
1312b0555388
148a8ddb172
15509ebe586
hex30294c240

12928205376 has 84 divisors (see below), whose sum is σ = 37244796732. Its totient is φ = 4287489024.

The previous prime is 12928205347. The next prime is 12928205383. The reversal of 12928205376 is 67350282921.

12928205376 is a `hidden beast` number, since 1 + 2 + 92 + 8 + 20 + 537 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11273342976 + 1654862400 = 106176^2 + 40680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56506 + ... + 170438.

Almost surely, 212928205376 is an apocalyptic number.

12928205376 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 12928205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622398366).

12928205376 is an abundant number, since it is smaller than the sum of its proper divisors (24316591356).

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

12928205376 is a wasteful number, since it uses less digits than its factorization.

12928205376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114148 (or 114135 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12928205376 in words is "twelve billion, nine hundred twenty-eight million, two hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 197 288 394 576 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 28368 37824 56736 113472 113933 227866 341799 455732 683598 911464 1025397 1367196 1822928 2050794 2734392 3645856 4101588 5468784 7291712 8203176 10937568 16406352 21875136 22444801 32812704 44889602 65625408 67334403 89779204 134668806 179558408 202003209 269337612 359116816 404006418 538675224 718233632 808012836 1077350448 1436467264 1616025672 2154700896 3232051344 4309401792 6464102688 12928205376