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56626000794 = 2321110312721863
BaseRepresentation
bin110100101111001011…
…000011001110011010
312102011100210212221200
4310233023003032122
51411432224011134
642002535415030
74043150031216
oct645713031632
9172140725850
1056626000794
11220189a0570
12ab83b24476
135455738c5c
142a52733946
151716434499
hexd2f2c339a

56626000794 has 96 divisors (see below), whose sum is σ = 136213069824. Its totient is φ = 16858225440.

The previous prime is 56626000771. The next prime is 56626000799. The reversal of 56626000794 is 49700062665.

It is not an unprimeable number, because it can be changed into a prime (56626000799) by changing a digit.

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, 2579107 + ... + 2600969.

It is an arithmetic number, because the mean of its divisors is an integer number (1418886144).

Almost surely, 256626000794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56626000794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68106534912).

56626000794 is an abundant number, since it is smaller than the sum of its proper divisors (79587069030).

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

56626000794 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (56626000793) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (22112).

56626000794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22109 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56626000794 in words is "fifty-six billion, six hundred twenty-six million, seven hundred ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 127 198 206 254 309 381 618 762 927 1133 1143 1397 1854 2266 2286 2794 3399 4191 6798 8382 10197 12573 13081 20394 21863 25146 26162 39243 43726 65589 78486 117729 131178 143891 196767 235458 240493 287782 393534 431673 480986 721479 863346 1295019 1442958 2164437 2251889 2590038 2776601 4328874 4503778 5553202 6755667 8329803 13511334 16659606 20267001 24770779 24989409 30542611 40534002 49541558 49978818 61085222 74312337 91627833 148624674 183255666 222937011 274883499 285989903 445874022 549766998 571979806 857969709 1715939418 2573909127 3145888933 5147818254 6291777866 9437666799 18875333598 28313000397 56626000794