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56296306628680 = 23541239267153773
BaseRepresentation
bin11001100110011100000010…
…10110111101100001001000
321101022212121101220010210211
430303032001112331201020
524334324313444104210
6315422055523450504
714600162646626356
oct1463160126754110
9241285541803724
1056296306628680
1116a351474a5248
126392727226a34
13255494666bc51
14dc8a81c027d6
156795e1dee38a
hex3333815bd848

56296306628680 has 128 divisors (see below), whose sum is σ = 130350240921600. Its totient is φ = 21868771276800.

The previous prime is 56296306628663. The next prime is 56296306628693. The reversal of 56296306628680 is 8682660369265.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046898274 + ... + 1046952046.

It is an arithmetic number, because the mean of its divisors is an integer number (1018361257200).

Almost surely, 256296306628680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56296306628680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65175120460800).

56296306628680 is an abundant number, since it is smaller than the sum of its proper divisors (74053934292920).

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

56296306628680 is a wasteful number, since it uses less digits than its factorization.

56296306628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56735 (or 56731 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 67.

The spelling of 56296306628680 in words is "fifty-six trillion, two hundred ninety-six billion, three hundred six million, six hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 239 328 410 478 820 956 1195 1640 1912 2390 2671 4780 5342 9560 9799 10684 13355 19598 21368 26710 39196 48995 53420 53773 78392 97990 106840 107546 109511 195980 215092 219022 268865 391960 430184 438044 537730 547555 638369 876088 1075460 1095110 1276738 2150920 2190220 2204693 2553476 3191845 4380440 4409386 5106952 6383690 8818772 11023465 12767380 12851747 17637544 22046930 25534760 25703494 26173129 44093860 51406988 52346258 64258735 88187720 102813976 104692516 128517470 130865645 143627683 209385032 257034940 261731290 287255366 514069880 523462580 526921627 574510732 718138415 1046925160 1053843254 1149021464 1436276830 2107686508 2634608135 2872553660 4215373016 5269216270 5745107320 5888735003 10538432540 11777470006 21076865080 23554940012 29443675015 34327016237 47109880024 58887350030 68654032474 117774700060 137308064948 171635081185 235549400120 274616129896 343270162370 686540324740 1373080649480 1407407665717 2814815331434 5629630662868 7037038328585 11259261325736 14074076657170 28148153314340 56296306628680