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56065112226 = 23317409149323
BaseRepresentation
bin110100001101101111…
…011011100010100010
312100201021101210111000
4310031233123202202
51404310132042401
641431141532430
74023226406454
oct641557334242
9170637353430
1056065112226
11218603266a2
12aa48114116
135396485626
1429dc04c2d4
1516d2090186
hexd0dbdb8a2

56065112226 has 64 divisors (see below), whose sum is σ = 132241334400. Its totient is φ = 17545932288.

The previous prime is 56065112203. The next prime is 56065112227. The reversal of 56065112226 is 62221156065.

56065112226 is a `hidden beast` number, since 5 + 606 + 5 + 1 + 1 + 22 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (56065112227) 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 31 ways as a sum of consecutive naturals, for example, 300801 + ... + 450123.

It is an arithmetic number, because the mean of its divisors is an integer number (2066270850).

Almost surely, 256065112226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56065112226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66120667200).

56065112226 is an abundant number, since it is smaller than the sum of its proper divisors (76176222174).

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

56065112226 is a wasteful number, since it uses less digits than its factorization.

56065112226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149760 (or 149754 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56065112226 in words is "fifty-six billion, sixty-five million, one hundred twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 409 459 818 918 1227 2454 3681 6953 7362 11043 13906 20859 22086 41718 62577 125154 149323 187731 298646 375462 447969 895938 1343907 2538491 2687814 4031721 5076982 7615473 8063442 15230946 22846419 45692838 61073107 68539257 122146214 137078514 183219321 366438642 549657963 1038242819 1099315926 1648973889 2076485638 3114728457 3297947778 6229456914 9344185371 18688370742 28032556113 56065112226