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56608050510 = 232511187930431
BaseRepresentation
bin110100101110000110…
…100100110101001110
312102010010000220210100
4310232012210311032
51411413130104020
642001054551530
74042541330064
oct645606446516
9172103026710
1056608050510
1122009850220
12ab79b085a6
135451ac279b
142a501c0034
151714a8aa90
hexd2e1a4d4e

56608050510 has 96 divisors (see below), whose sum is σ = 160651745280. Its totient is φ = 13715409600.

The previous prime is 56608050503. The next prime is 56608050523. The reversal of 56608050510 is 1505080665.

56608050510 is a `hidden beast` number, since 5 + 6 + 60 + 80 + 5 + 0 + 510 = 666.

56608050510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×566080505102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844995 + ... + 1875425.

It is an arithmetic number, because the mean of its divisors is an integer number (1673455680).

Almost surely, 256608050510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56608050510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80325872640).

56608050510 is an abundant number, since it is smaller than the sum of its proper divisors (104043694770).

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

56608050510 is a wasteful number, since it uses less digits than its factorization.

56608050510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32334 (or 32331 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 56608050510 in words is "fifty-six billion, six hundred eight million, fifty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1879 3758 5637 9395 11274 16911 18790 20669 28185 30431 33822 41338 56370 60862 62007 84555 91293 103345 124014 152155 169110 182586 186021 206690 273879 304310 310035 334741 372042 456465 547758 620070 669482 912930 930105 1004223 1369395 1673705 1860210 2008446 2738790 3012669 3347410 5021115 6025338 10042230 15063345 30126690 57179849 114359698 171539547 285899245 343079094 514618641 571798490 628978339 857697735 1029237282 1257956678 1715395470 1886935017 2573093205 3144891695 3773870034 5146186410 5660805051 6289783390 9434675085 11321610102 18869350170 28304025255 56608050510