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56285879292 = 22331728321727
BaseRepresentation
bin110100011010111001…
…100101101111111100
312101021122210220222000
4310122321211233330
51410233141114132
641505105422300
74031550036306
oct643271455774
9171248726860
1056285879292
1121963a03215
12aaaa03a990
135400131226
142a1d4b8976
1516e664c87c
hexd1ae65bfc

56285879292 has 144 divisors (see below), whose sum is σ = 156890065920. Its totient is φ = 17444761344.

The previous prime is 56285879267. The next prime is 56285879333. The reversal of 56285879292 is 29297858265.

56285879292 is a `hidden beast` number, since 5 + 6 + 28 + 587 + 9 + 29 + 2 = 666.

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, 2579733 + ... + 2601459.

Almost surely, 256285879292 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 56285879292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78445032960).

56285879292 is an abundant number, since it is smaller than the sum of its proper divisors (100604186628).

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

56285879292 is a wasteful number, since it uses less digits than its factorization.

56285879292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21857 (or 21832 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 56285879292 in words is "fifty-six billion, two hundred eighty-five million, eight hundred seventy-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 289 306 332 459 498 578 612 747 867 918 996 1156 1411 1494 1734 1836 2241 2601 2822 2988 3468 4233 4482 5202 5644 7803 8466 8964 10404 12699 15606 16932 21727 23987 25398 31212 38097 43454 47974 50796 65181 71961 76194 86908 95948 130362 143922 152388 195543 215883 260724 287844 369359 391086 431766 586629 647649 738718 782172 863532 1108077 1173258 1295298 1477436 1803341 2216154 2346516 2590596 3324231 3606682 4432308 5410023 6279103 6648462 7213364 9972693 10820046 12558206 13296924 16230069 18837309 19945386 21640092 25116412 30656797 32460138 37674618 39890772 48690207 56511927 61313594 64920276 75349236 91970391 97380414 113023854 122627188 169535781 183940782 194760828 226047708 275911173 339071562 367881564 521165549 551822346 678143124 827733519 1042331098 1103644692 1563496647 1655467038 2084662196 3126993294 3310934076 4690489941 6253986588 9380979882 14071469823 18761959764 28142939646 56285879292