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56505601116 = 22322999754287
BaseRepresentation
bin110100100111111111…
…110000110001011100
312101211222020221122100
4310213333300301130
51411210413213431
641542555045100
74040155453566
oct644777606134
9171758227570
1056505601116
1121a66a364a8
12ab4b740790
135436802143
142a40752336
15170aaa04e6
hexd27ff0c5c

56505601116 has 72 divisors (see below), whose sum is σ = 147909827520. Its totient is φ = 18167135616.

The previous prime is 56505601109. The next prime is 56505601157. The reversal of 56505601116 is 61110650565.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013725 + ... + 1068011.

It is an arithmetic number, because the mean of its divisors is an integer number (2054303160).

Almost surely, 256505601116 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 56505601116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73954913760).

56505601116 is an abundant number, since it is smaller than the sum of its proper divisors (91404226404).

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

56505601116 is a wasteful number, since it uses less digits than its factorization.

56505601116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55323 (or 55318 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 56505601116 in words is "fifty-six billion, five hundred five million, six hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 997 1044 1994 2991 3988 5982 8973 11964 17946 28913 35892 54287 57826 86739 108574 115652 162861 173478 217148 260217 325722 346956 488583 520434 651444 977166 1040868 1574323 1954332 3148646 4722969 6297292 9445938 14168907 18891876 28337814 54124139 56675628 108248278 162372417 216496556 324744834 487117251 649489668 974234502 1569600031 1948469004 3139200062 4708800093 6278400124 9417600186 14126400279 18835200372 28252800558 56505601116