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56426523132 = 22374359264779
BaseRepresentation
bin110100100011010010…
…000110100111111100
312101122110110101001010
4310203102012213330
51411030142220012
641531052115220
74035205350540
oct644322064774
9171573411033
1056426523132
1121a26334aa1
12ab29165b10
135423305635
142a34049a20
151703b7ec3c
hexd234869fc

56426523132 has 96 divisors (see below), whose sum is σ = 156580300800. Its totient is φ = 15479980992.

The previous prime is 56426523119. The next prime is 56426523137. The reversal of 56426523132 is 23132562465.

56426523132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564265231322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56426523137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80719 + ... + 345497.

It is an arithmetic number, because the mean of its divisors is an integer number (1631044800).

Almost surely, 256426523132 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 56426523132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78290150400).

56426523132 is an abundant number, since it is smaller than the sum of its proper divisors (100153777668).

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

56426523132 is a wasteful number, since it uses less digits than its factorization.

56426523132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264895 (or 264893 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The spelling of 56426523132 in words is "fifty-six billion, four hundred twenty-six million, five hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 59 84 86 118 129 172 177 236 258 301 354 413 516 602 708 826 903 1204 1239 1652 1806 2478 2537 3612 4956 5074 7611 10148 15222 17759 30444 35518 53277 71036 106554 213108 264779 529558 794337 1059116 1588674 1853453 3177348 3706906 5560359 7413812 11120718 11385497 15621961 22241436 22770994 31243922 34156491 45541988 46865883 62487844 68312982 79698479 93731766 109353727 136625964 159396958 187463532 218707454 239095437 318793916 328061181 437414908 478190874 656122362 671744323 956381748 1312244724 1343488646 2015232969 2686977292 4030465938 4702210261 8060931876 9404420522 14106630783 18808841044 28213261566 56426523132