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56787168270 = 235719101913967
BaseRepresentation
bin110100111000110001…
…110110110000001110
312102120121002001011110
4310320301312300032
51412300003341040
642030534032450
74050144652230
oct647061666016
9172517061143
1056787168270
11220a0970028
12b009aa8726
13547cc47c21
142a69cc8250
15172566c980
hexd38c76c0e

56787168270 has 128 divisors (see below), whose sum is σ = 164129587200. Its totient is φ = 12283823232.

The previous prime is 56787168259. The next prime is 56787168283. The reversal of 56787168270 is 7286178765.

56787168270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56787168270.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4058827 + ... + 4072793.

It is an arithmetic number, because the mean of its divisors is an integer number (1282262400).

Almost surely, 256787168270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56787168270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82064793600).

56787168270 is an abundant number, since it is smaller than the sum of its proper divisors (107342418930).

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

56787168270 is a wasteful number, since it uses less digits than its factorization.

56787168270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022.

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 56787168270 in words is "fifty-six billion, seven hundred eighty-seven million, one hundred sixty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1019 1330 1995 2038 3057 3990 5095 6114 7133 10190 13967 14266 15285 19361 21399 27934 30570 35665 38722 41901 42798 58083 69835 71330 83802 96805 97769 106995 116166 135527 139670 193610 195538 209505 213990 265373 271054 290415 293307 406581 419010 488845 530746 580830 586614 677635 796119 813162 977690 1326865 1355270 1466535 1592238 1857611 2032905 2653730 2933070 3715222 3980595 4065810 5572833 7961190 9288055 11145666 14232373 18576110 27864165 28464746 42697119 55728330 71161865 85394238 99626611 142323730 199253222 213485595 270415087 298879833 426971190 498133055 540830174 597759666 811245261 996266110 1352075435 1494399165 1622490522 1892905609 2704150870 2988798330 3785811218 4056226305 5678716827 8112452610 9464528045 11357433654 18929056090 28393584135 56787168270