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56522010534 = 231122912792099
BaseRepresentation
bin110100101000111110…
…010110111110100110
312101220010010122010120
4310220332112332212
51411224113314114
641544342502410
74040445106503
oct645076267646
9171803118116
1056522010534
1121a75224100
12ab55134a06
13543a029162
142a429c44aa
15170c2425a9
hexd28f96fa6

56522010534 has 96 divisors (see below), whose sum is σ = 128701440000. Its totient is φ = 16516463040.

The previous prime is 56522010487. The next prime is 56522010547. The reversal of 56522010534 is 43501022565.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 56522010495 and 56522010504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26927017 + ... + 26929115.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640000).

Almost surely, 256522010534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56522010534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720000).

56522010534 is an abundant number, since it is smaller than the sum of its proper divisors (72179429466).

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

56522010534 is a wasteful number, since it uses less digits than its factorization.

56522010534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 56522010534 in words is "fifty-six billion, five hundred twenty-two million, ten thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1279 1914 2099 2558 3509 3837 4198 6297 7018 7674 10527 12594 14069 21054 23089 28138 37091 42207 46178 60871 69267 74182 84414 111273 121742 138534 154759 182613 222546 253979 309518 365226 408001 464277 507958 669581 761937 816002 928554 1224003 1339162 1523874 2008743 2448006 2684621 4017486 4488011 5369242 7365391 8053863 8976022 13464033 14730782 16107726 22096173 26928066 29530831 44192346 59061662 77854009 88592493 155708018 177184986 233562027 324839141 467124054 649678282 856394099 974517423 1712788198 1949034846 2569182297 5138364594 9420335089 18840670178 28261005267 56522010534