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56072107170 = 23354110349177
BaseRepresentation
bin110100001110001010…
…000111010010100010
312100201202120011202000
4310032022013102202
51404313424412140
641431551504430
74023343022052
oct641612072242
9170652504660
1056072107170
1121864274042
12aa4a528116
135397a64451
1429dcd4d562
1516d29c2a30
hexd0e2874a2

56072107170 has 128 divisors (see below), whose sum is σ = 154662842880. Its totient is φ = 14445941760.

The previous prime is 56072107151. The next prime is 56072107237. The reversal of 56072107170 is 7170127065.

56072107170 is a `hidden beast` number, since 560 + 7 + 21 + 0 + 7 + 1 + 70 = 666.

It is a Curzon 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, 1115622 + ... + 1164798.

It is an arithmetic number, because the mean of its divisors is an integer number (1208303460).

Almost surely, 256072107170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56072107170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77331421440).

56072107170 is an abundant number, since it is smaller than the sum of its proper divisors (98590735710).

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

56072107170 is a wasteful number, since it uses less digits than its factorization.

56072107170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49337 (or 49331 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 56072107170 in words is "fifty-six billion, seventy-two million, one hundred seven thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 103 123 135 205 206 246 270 309 369 410 515 615 618 738 927 1030 1107 1230 1545 1845 1854 2214 2781 3090 3690 4223 4635 5535 5562 8446 9270 11070 12669 13905 21115 25338 27810 38007 42230 49177 63345 76014 98354 114021 126690 147531 190035 228042 245885 295062 380070 442593 491770 570105 737655 885186 1140210 1327779 1475310 2016257 2212965 2655558 4032514 4425930 5065231 6048771 6638895 10081285 10130462 12097542 13277790 15195693 18146313 20162570 25326155 30243855 30391386 36292626 45587079 50652310 54438939 60487710 75978465 90731565 91174158 108877878 136761237 151956930 181463130 207674471 227935395 272194695 273522474 415348942 455870790 544389390 623023413 683806185 1038372355 1246046826 1367612370 1869070239 2076744710 3115117065 3738140478 5607210717 6230234130 9345351195 11214421434 18690702390 28036053585 56072107170