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56776901338116 = 22341950918119879
BaseRepresentation
bin11001110100011011001110…
…00010010010010000000100
321110000211002212121221210000
430322031213002102100010
524420213043220304431
6320430540504201300
714646665354354631
oct1472154702222004
9243024085557700
1056776901338116
11170aaa486a8723
12644b8b1469230
13258b0673a786b
141004033b0b188
15686d6e0db9e6
hex33a367092404

56776901338116 has 120 divisors (see below), whose sum is σ = 156544891272000. Its totient is φ = 17894321758656.

The previous prime is 56776901338111. The next prime is 56776901338123. The reversal of 56776901338116 is 61183310967765.

It is a happy number.

56776901338116 is a `hidden beast` number, since 567 + 7 + 69 + 0 + 1 + 3 + 3 + 8 + 1 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (56776901338111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5926536 + ... + 12193343.

It is an arithmetic number, because the mean of its divisors is an integer number (1304540760600).

Almost surely, 256776901338116 is an apocalyptic number.

It is an amenable number.

56776901338116 is an abundant number, since it is smaller than the sum of its proper divisors (99767989933884).

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

56776901338116 is a wasteful number, since it uses less digits than its factorization.

56776901338116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18120423 (or 18120412 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 56776901338116 in words is "fifty-six trillion, seven hundred seventy-six billion, nine hundred one million, three hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 509 513 684 1018 1026 1527 1539 2036 2052 3054 3078 4581 6108 6156 9162 9671 13743 18324 19342 27486 29013 38684 41229 54972 58026 82458 87039 116052 164916 174078 261117 348156 522234 783351 1044468 1566702 3133404 18119879 36239758 54359637 72479516 108719274 163078911 217438548 326157822 344277701 489236733 652315644 688555402 978473466 1032833103 1377110804 1467710199 1956946932 2065666206 2935420398 3098499309 4131332412 5870840796 6196998618 9223018411 9295497927 12393997236 18446036822 18590995854 27669055233 27886493781 36892073644 37181991708 55338110466 55772987562 83007165699 110676220932 111545975124 166014331398 175237349809 249021497097 332028662796 350474699618 498042994194 525712049427 700949399236 747064491291 996085988388 1051424098854 1494128982582 1577136148281 2102848197708 2988257965164 3154272296562 4731408444843 6308544593124 9462816889686 14194225334529 18925633779372 28388450669058 56776901338116