Search a number
-
+
56533629888 = 263423094723
BaseRepresentation
bin110100101001101010…
…101011101111000000
312101220220222221220000
4310221222223233000
51411240102124023
641545435520000
74040645632251
oct645152535700
9171826887800
1056533629888
1121a8083a97a
12ab58bb9000
13543c566b08
142a4436ab28
15170d28a243
hexd29aabbc0

56533629888 has 140 divisors (see below), whose sum is σ = 167691465480. Its totient is φ = 18832393728.

The previous prime is 56533629871. The next prime is 56533629899. The reversal of 56533629888 is 88892633565.

56533629888 is a `hidden beast` number, since 5 + 6 + 5 + 336 + 298 + 8 + 8 = 666.

56533629888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11967495 + ... + 11972217.

It is an arithmetic number, because the mean of its divisors is an integer number (1197796182).

Almost surely, 256533629888 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 56533629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83845732740).

56533629888 is an abundant number, since it is smaller than the sum of its proper divisors (111157835592).

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

56533629888 is a wasteful number, since it uses less digits than its factorization.

56533629888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7037 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 56533629888 in words is "fifty-six billion, five hundred thirty-three million, six hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2309 2592 4618 4723 5184 6927 9236 9446 13854 14169 18472 18892 20781 27708 28338 36944 37784 41562 42507 55416 56676 62343 73888 75568 83124 85014 110832 113352 124686 127521 147776 151136 166248 170028 187029 221664 226704 249372 255042 302272 332496 340056 374058 382563 443328 453408 498744 510084 664992 680112 748116 765126 906816 997488 1020168 1329984 1360224 1496232 1530252 1994976 2040336 2720448 2992464 3060504 3989952 4080672 5984928 6121008 8161344 10905407 11969856 12242016 21810814 24484032 32716221 43621628 65432442 87243256 98148663 130864884 174486512 196297326 261729768 294445989 348973024 392594652 523459536 588891978 697946048 785189304 883337967 1046919072 1177783956 1570378608 1766675934 2093838144 2355567912 3140757216 3533351868 4711135824 6281514432 7066703736 9422271648 14133407472 18844543296 28266814944 56533629888