Search a number
-
+
56608208352 = 2532222188499
BaseRepresentation
bin110100101110000111…
…001011010111100000
312102010010022221022100
4310232013023113200
51411413200131402
642001102210400
74042542555213
oct645607132740
9172103287270
1056608208352
1122009948873
12ab79b83a00
135451b49597
142a5022177a
151714abc71c
hexd2e1cb5e0

56608208352 has 72 divisors (see below), whose sum is σ = 161053893000. Its totient is φ = 18860693760.

The previous prime is 56608208341. The next prime is 56608208383. The reversal of 56608208352 is 25380280665.

56608208352 is a `hidden beast` number, since 5 + 6 + 608 + 2 + 0 + 8 + 35 + 2 = 666.

56608208352 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 56608208298 and 56608208307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595399 + ... + 683897.

It is an arithmetic number, because the mean of its divisors is an integer number (2236859625).

Almost surely, 256608208352 is an apocalyptic number.

It is an amenable number.

56608208352 is an abundant number, since it is smaller than the sum of its proper divisors (104445684648).

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

56608208352 is a wasteful number, since it uses less digits than its factorization.

56608208352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90736 (or 90725 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 56608208352 in words is "fifty-six billion, six hundred eight million, two hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2221 4442 6663 8884 13326 17768 19989 26652 35536 39978 53304 71072 79956 88499 106608 159912 176998 213216 265497 319824 353996 530994 639648 707992 796491 1061988 1415984 1592982 2123976 2831968 3185964 4247952 6371928 8495904 12743856 25487712 196556279 393112558 589668837 786225116 1179337674 1572450232 1769006511 2358675348 3144900464 3538013022 4717350696 6289800928 7076026044 9434701392 14152052088 18869402784 28304104176 56608208352