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56729056284 = 223223118158013
BaseRepresentation
bin110100110101010100…
…001011010000011100
312102102112201122111200
4310311110023100130
51412140114300114
642021100315500
74045541010435
oct646524132034
9172375648450
1056729056284
112207108969a
12abb2542b90
135470bac434
142a622bc48c
1517204de409
hexd3550b41c

56729056284 has 72 divisors (see below), whose sum is σ = 149762444832. Its totient is φ = 18071898240.

The previous prime is 56729056277. The next prime is 56729056289. The reversal of 56729056284 is 48265092765.

56729056284 is a `hidden beast` number, since 5 + 6 + 7 + 2 + 9 + 0 + 5 + 628 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56729056284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56729056289) 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, 948862 + ... + 1006874.

It is an arithmetic number, because the mean of its divisors is an integer number (2080033956).

Almost surely, 256729056284 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 56729056284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74881222416).

56729056284 is an abundant number, since it is smaller than the sum of its proper divisors (93033388548).

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

56729056284 is a wasteful number, since it uses less digits than its factorization.

56729056284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59227 (or 59222 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56729056284 in words is "fifty-six billion, seven hundred twenty-nine million, fifty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1181 2362 3543 4724 7086 10629 14172 21258 27163 42516 54326 58013 81489 108652 116026 162978 174039 232052 244467 325956 348078 488934 522117 696156 977868 1044234 1334299 2088468 2668598 4002897 5337196 8005794 12008691 16011588 24017382 48034764 68513353 137026706 205540059 274053412 411080118 616620177 822160236 1233240354 1575807119 2466480708 3151614238 4727421357 6303228476 9454842714 14182264071 18909685428 28364528142 56729056284