Search a number
-
+
56712287451260 = 22573132713994909
BaseRepresentation
bin11001110010100010110111…
…01111110111100001111100
321102210122022211012102010102
430321101123233313201330
524413133231041420020
6320341133140300232
714642220231366020
oct1471213357674174
9242718284172112
1056712287451260
1117085600864131
12643b27a3a1678
132584c3aaaa60c
141000c64584380
1568533b7a1475
hex33945bbf787c

56712287451260 has 96 divisors (see below), whose sum is σ = 140543107031040. Its totient is φ = 18811222790400.

The previous prime is 56712287451227. The next prime is 56712287451293. The reversal of 56712287451260 is 6215478221765.

56712287451260 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56712287451227) and next prime (56712287451293).

It is a junction number, because it is equal to n+sod(n) for n = 56712287451196 and 56712287451205.

It is a congruent number.

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, 12198686 + ... + 16193594.

It is an arithmetic number, because the mean of its divisors is an integer number (1463990698240).

Almost surely, 256712287451260 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 56712287451260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70271553515520).

56712287451260 is an abundant number, since it is smaller than the sum of its proper divisors (83830819579780).

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

56712287451260 is a wasteful number, since it uses less digits than its factorization.

56712287451260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998227 (or 3998225 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 56712287451260 in words is "fifty-six trillion, seven hundred twelve billion, two hundred eighty-seven million, four hundred fifty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3271 4340 6542 13084 16355 22897 32710 45794 65420 91588 101401 114485 202802 228970 405604 457940 507005 709807 1014010 1419614 2028020 2839228 3549035 3994909 7098070 7989818 14196140 15979636 19974545 27964363 39949090 55928726 79898180 111857452 123842179 139821815 247684358 279643630 495368716 559287260 619210895 866895253 1238421790 1733790506 2476843580 3467581012 4334476265 8668952530 13067347339 17337905060 26134694678 52269389356 65336736695 91471431373 130673473390 182942862746 261346946780 365885725492 405087767509 457357156865 810175535018 914714313730 1620351070036 1829428627460 2025438837545 2835614372563 4050877675090 5671228745126 8101755350180 11342457490252 14178071862815 28356143725630 56712287451260