Search a number
-
+
56580275040 = 2535117875573
BaseRepresentation
bin110100101100011100…
…100111101101100000
312102001011202210000020
4310230130213231200
51411334022300130
641554223353440
74042053255042
oct645434475540
9172034683006
1056580275040
1121aa50aa093
12ab70752880
1354491191b3
142a4a62da92
151712400e10
hexd2c727b60

56580275040 has 48 divisors (see below), whose sum is σ = 178227867888. Its totient is φ = 15088073216.

The previous prime is 56580275029. The next prime is 56580275119. The reversal of 56580275040 is 4057208565.

56580275040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 56580274983 and 56580275001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58937307 + ... + 58938266.

It is an arithmetic number, because the mean of its divisors is an integer number (3713080581).

Almost surely, 256580275040 is an apocalyptic number.

It is an amenable number.

56580275040 is an abundant number, since it is smaller than the sum of its proper divisors (121647592848).

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

56580275040 is a wasteful number, since it uses less digits than its factorization.

56580275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117875591 (or 117875583 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 56580275040 in words is "fifty-six billion, five hundred eighty million, two hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 117875573 235751146 353626719 471502292 589377865 707253438 943004584 1178755730 1414506876 1768133595 1886009168 2357511460 2829013752 3536267190 3772018336 4715022920 5658027504 7072534380 9430045840 11316055008 14145068760 18860091680 28290137520 56580275040