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12326053679104 = 21211249872
BaseRepresentation
bin1011001101011110001000…
…0011010001000000000000
31121122100200212121011100111
42303113202003101000000
53103422224220212404
642114302204001104
72411346046400104
oct263274203210000
947570625534314
1012326053679104
113a224a4a64900
121470a56530194
136b545a137a59
14308826dc9904
15165967a38104
hexb35e20d1000

12326053679104 has 117 divisors (see below), whose sum is σ = 27099070661271. Its totient is φ = 5601628200960.

The previous prime is 12326053679089. The next prime is 12326053679111. The reversal of 12326053679104 is 40197635062321.

The square root of 12326053679104 is 3510848.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2471634499 + ... + 2471639485.

Almost surely, 212326053679104 is an apocalyptic number.

12326053679104 is the 3510848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12326053679104

12326053679104 is an abundant number, since it is smaller than the sum of its proper divisors (14773016982167).

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

12326053679104 is an frugal number, since it uses more digits than its factorization.

12326053679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 12326053679104 by its sum of digits (49), we get a square (603976630276096 = 245759362).

The spelling of 12326053679104 in words is "twelve trillion, three hundred twenty-six billion, fifty-three million, six hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 4987 5632 7744 9974 11264 15488 19948 22528 30976 39896 45056 54857 61952 79792 109714 123904 159584 219428 247808 319168 438856 495616 603427 638336 877712 1206854 1276672 1755424 2413708 2553344 3510848 4827416 5106688 7021696 9654832 10213376 14043392 19309664 20426752 24870169 28086784 38619328 49740338 56173568 77238656 99480676 112347136 154477312 198961352 224694272 273571859 308954624 397922704 547143718 617909248 795845408 1094287436 1235818496 1591690816 2188574872 2471636992 3009290449 3183381632 4377149744 6018580898 6366763264 8754299488 12037161796 12733526528 17508598976 24074323592 25467053056 35017197952 48148647184 50934106112 70034395904 96297294368 101868212224 140068791808 192594588736 280137583616 385189177472 560275167232 770378354944 1120550334464 1540756709888 3081513419776 6163026839552 12326053679104