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13623336125696 = 281110170967559
BaseRepresentation
bin1100011000111110111000…
…0111000100010100000000
31210020101012201101121010102
43012033232013010110000
53241201043022010241
644550250233021532
72604152653266323
oct306175607042400
953211181347112
1013623336125696
1143826960a0990
1216403638548a8
1377a8a1210b0b
143515316927ba
151895930ac39b
hexc63ee1c4500

13623336125696 has 144 divisors (see below), whose sum is σ = 30002006966400. Its totient is φ = 6122376192000.

The previous prime is 13623336125689. The next prime is 13623336125723. The reversal of 13623336125696 is 69652163332631.

It is a super-2 number, since 2×136233361256962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201617165 + ... + 201684723.

It is an arithmetic number, because the mean of its divisors is an integer number (208347270600).

Almost surely, 213623336125696 is an apocalyptic number.

13623336125696 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 13623336125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001003483200).

13623336125696 is an abundant number, since it is smaller than the sum of its proper divisors (16378670840704).

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

13623336125696 is a wasteful number, since it uses less digits than its factorization.

13623336125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68396 (or 68382 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 56.

The spelling of 13623336125696 in words is "thirteen trillion, six hundred twenty-three billion, three hundred thirty-six million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 704 709 808 1111 1408 1418 1616 2222 2816 2836 3232 4444 5672 6464 7799 8888 11344 12928 15598 17776 22688 25856 31196 35552 45376 62392 67559 71104 71609 90752 124784 135118 142208 143218 181504 249568 270236 284416 286436 499136 540472 572872 743149 787699 998272 1080944 1145744 1486298 1575398 1996544 2161888 2291488 2972596 3150796 4323776 4582976 5945192 6301592 6823459 8647552 9165952 11890384 12603184 13646918 17295104 18331904 23780768 25206368 27293836 47561536 47899331 50412736 54587672 75058049 95123072 95798662 100825472 109175344 150116098 190246144 191597324 201650944 218350688 300232196 383194648 436701376 526892641 600464392 766389296 873402752 1053785282 1200928784 1532778592 1746805504 2107570564 2401857568 3065557184 4215141128 4803715136 4837832431 6131114368 8430282256 9607430272 9675664862 12262228736 16860564512 19214860544 19351329724 33721129024 38702659448 53216156741 67442258048 77405318896 106432313482 134884516096 154810637792 212864626964 309621275584 425729253928 619242551168 851458507856 1238485102336 1702917015712 3405834031424 6811668062848 13623336125696