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56586722412 = 223111937216481
BaseRepresentation
bin110100101100110101…
…001101110001101100
312102001121220100010210
4310230311031301230
51411342200104122
641555013502420
74042162130043
oct645465156154
9172047810123
1056586722412
1121aa88030a0
12ab72941a10
13544a5659cc
142a4b42b55a
151712c7640c
hexd2cd4dc6c

56586722412 has 144 divisors (see below), whose sum is σ = 155837969280. Its totient is φ = 15804979200.

The previous prime is 56586722389. The next prime is 56586722441. The reversal of 56586722412 is 21422768565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3425212 + ... + 3441692.

It is an arithmetic number, because the mean of its divisors is an integer number (1082208120).

Almost surely, 256586722412 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 56586722412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77918984640).

56586722412 is an abundant number, since it is smaller than the sum of its proper divisors (99251246868).

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

56586722412 is a wasteful number, since it uses less digits than its factorization.

56586722412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592 (or 16553 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 56586722412 in words is "fifty-six billion, five hundred eighty-six million, seven hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 407 418 444 627 703 814 836 1221 1254 1369 1406 1628 2109 2442 2508 2738 2812 4107 4218 4884 5476 7733 8214 8436 15059 15466 16428 16481 23199 26011 30118 30932 32962 45177 46398 49443 52022 60236 65924 78033 90354 92796 98886 104044 156066 180708 181291 197772 286121 312132 313139 362582 543873 572242 609797 626278 725164 858363 939417 1087746 1144484 1219594 1252556 1716726 1829391 1878834 2175492 2439188 3433452 3444529 3658782 3757668 6707767 6889058 7317564 10333587 11586143 13415534 13778116 20123301 20667174 22562489 23172286 26831068 34758429 40246602 41334348 45124978 46344572 67687467 69516858 80493204 90249956 127447573 135374934 139033716 248187379 254895146 270749868 382342719 428687291 496374758 509790292 744562137 764685438 857374582 992749516 1286061873 1489124274 1529370876 1714749164 2572123746 2978248548 4715560201 5144247492 9431120402 14146680603 18862240804 28293361206 56586722412