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56057844096 = 273383195427
BaseRepresentation
bin110100001101010011…
…101101000110000000
312100200202201112111000
4310031103231012000
51404301302002341
641430322052000
74023110545542
oct641523550600
9170622645430
1056057844096
1121857211a81
12aa457aa000
135394b0c367
1429db0b9692
1516d16068b6
hexd0d4ed180

56057844096 has 128 divisors (see below), whose sum is σ = 167442710400. Its totient is φ = 18460721664.

The previous prime is 56057844061. The next prime is 56057844107. The reversal of 56057844096 is 69044875065.

56057844096 is a `hidden beast` number, since 5 + 60 + 57 + 8 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 189135 + ... + 384561.

It is an arithmetic number, because the mean of its divisors is an integer number (1308146175).

Almost surely, 256057844096 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 56057844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721355200).

56057844096 is an abundant number, since it is smaller than the sum of its proper divisors (111384866304).

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

56057844096 is a wasteful number, since it uses less digits than its factorization.

56057844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195533 (or 195515 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56057844096 in words is "fifty-six billion, fifty-seven million, eight hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 288 332 384 432 498 576 664 747 864 996 1152 1328 1494 1728 1992 2241 2656 2988 3456 3984 4482 5312 5976 7968 8964 10624 11952 15936 17928 23904 31872 35856 47808 71712 95616 143424 195427 286848 390854 586281 781708 1172562 1563416 1758843 2345124 3126832 3517686 4690248 5276529 6253664 7035372 9380496 10553058 12507328 14070744 16220441 18760992 21106116 25014656 28141488 32440882 37521984 42212232 48661323 56282976 64881764 75043968 84424464 97322646 112565952 129763528 145983969 168848928 194645292 225131904 259527056 291967938 337697856 389290584 437951907 519054112 583935876 675395712 778581168 875903814 1038108224 1167871752 1557162336 1751807628 2076216448 2335743504 3114324672 3503615256 4671487008 6228649344 7007230512 9342974016 14014461024 18685948032 28028922048 56057844096