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56724521292 = 2235557104773
BaseRepresentation
bin110100110101000010…
…111000000101001100
312102102020012020200000
4310311002320011030
51412132434140132
642020415204300
74045454322045
oct646502700514
9172366166600
1056724521292
112206957146a
12abb0b16690
13546cc821ca
142a6185b8cc
15171ede587c
hexd350b814c

56724521292 has 72 divisors (see below), whose sum is σ = 148965996816. Its totient is φ = 18874047168.

The previous prime is 56724521281. The next prime is 56724521297. The reversal of 56724521292 is 29212542765.

56724521292 is a `hidden beast` number, since 5 + 6 + 72 + 452 + 129 + 2 = 666.

It is a super-2 number, since 2×567245212922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56724521297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489018 + ... + 593790.

It is an arithmetic number, because the mean of its divisors is an integer number (2068972178).

Almost surely, 256724521292 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 56724521292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74482998408).

56724521292 is an abundant number, since it is smaller than the sum of its proper divisors (92241475524).

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

56724521292 is a wasteful number, since it uses less digits than its factorization.

56724521292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105349 (or 105335 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 56724521292 in words is "fifty-six billion, seven hundred twenty-four million, five hundred twenty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 557 972 1114 1671 2228 3342 5013 6684 10026 15039 20052 30078 45117 60156 90234 104773 135351 180468 209546 270702 314319 419092 541404 628638 942957 1257276 1885914 2828871 3771828 5657742 8486613 11315484 16973226 25459839 33946452 50919678 58358561 101839356 116717122 175075683 233434244 350151366 525227049 700302732 1050454098 1575681147 2100908196 3151362294 4727043441 6302724588 9454086882 14181130323 18908173764 28362260646 56724521292