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12392349312 = 27372658607
BaseRepresentation
bin10111000101010010…
…00011111010000000
31011222122101120102110
423202221003322000
5200334420134222
65405403015320
7616044142200
oct134251037200
934878346373
1012392349312
11528a181502
12249a20a540
131226527995
14857b90400
154c7e2230c
hex2e2a43e80

12392349312 has 96 divisors (see below), whose sum is σ = 38291469120. Its totient is φ = 3540665856.

The previous prime is 12392349253. The next prime is 12392349349. The reversal of 12392349312 is 21394329321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 310488 + ... + 348119.

It is an arithmetic number, because the mean of its divisors is an integer number (398869470).

Almost surely, 212392349312 is an apocalyptic number.

12392349312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12392349312 is an abundant number, since it is smaller than the sum of its proper divisors (25899119808).

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

12392349312 is an equidigital number, since it uses as much as digits as its factorization.

12392349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658638 (or 658619 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The spelling of 12392349312 in words is "twelve billion, three hundred ninety-two million, three hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 658607 1317214 1975821 2634428 3951642 4610249 5268856 7903284 9220498 10537712 13830747 15806568 18440996 21075424 27661494 31613136 32271743 36881992 42150848 55322988 63226272 64543486 73763984 84301696 96815229 110645976 126452544 129086972 147527968 193630458 221291952 252905088 258173944 295055936 387260916 442583904 516347888 590111872 774521832 885167808 1032695776 1549043664 1770335616 2065391552 3098087328 4130783104 6196174656 12392349312