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12379533296 = 24131921131459
BaseRepresentation
bin10111000011110000…
…01010111111110000
31011221202021110011012
423201320022333300
5200323130031141
65404224210052
7615530203544
oct134170127760
934852243135
1012379533296
115282a18659
122495a69928
13122398b440
148561b5a24
154c6c3eceb
hex2e1e0aff0

12379533296 has 120 divisors (see below), whose sum is σ = 27521519760. Its totient is φ = 5361334272.

The previous prime is 12379533259. The next prime is 12379533307. The reversal of 12379533296 is 69233597321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8484215 + ... + 8485673.

It is an arithmetic number, because the mean of its divisors is an integer number (229345998).

Almost surely, 212379533296 is an apocalyptic number.

12379533296 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 12379533296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760759880).

12379533296 is an abundant number, since it is smaller than the sum of its proper divisors (15141986464).

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

12379533296 is a wasteful number, since it uses less digits than its factorization.

12379533296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1606 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 50.

The spelling of 12379533296 in words is "twelve billion, three hundred seventy-nine million, five hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 113 152 208 226 247 304 361 452 494 722 904 988 1444 1459 1469 1808 1976 2147 2888 2918 2938 3952 4294 4693 5776 5836 5876 8588 9386 11672 11752 17176 18772 18967 23344 23504 27721 27911 34352 37544 37934 40793 55442 55822 75088 75868 81586 110884 111644 151736 163172 164867 221768 223288 303472 326344 329734 360373 443536 446576 526699 530309 652688 659468 720746 1053398 1060618 1318936 1441492 2106796 2121236 2143271 2637872 2882984 3132473 4213592 4242472 4286542 5765968 6264946 6847087 8427184 8484944 8573084 12529892 13694174 17146168 25059784 27388348 34292336 40722149 50119568 54776696 59516987 81444298 109553392 119033974 162888596 238067948 325777192 476135896 651554384 773720831 952271792 1547441662 3094883324 6189766648 12379533296