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56725317800 = 23521737344729
BaseRepresentation
bin110100110101000101…
…111010100010101000
312102102021200201021022
4310311011322202220
51412133140132200
642020444232012
74045464150164
oct646505724250
9172367621238
1056725317800
1122069a65938
12abb123b608
1354701a0908
142a619c7ca4
151720001885
hexd3517a8a8

56725317800 has 96 divisors (see below), whose sum is σ = 140021897400. Its totient is φ = 21297684480.

The previous prime is 56725317743. The next prime is 56725317809. The reversal of 56725317800 is 871352765.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 16241463364 + 40483854436 = 127442^2 + 201206^2 .

It is not an unprimeable number, because it can be changed into a prime (56725317809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245836 + ... + 1290564.

Almost surely, 256725317800 is an apocalyptic number.

56725317800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56725317800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70010948700).

56725317800 is an abundant number, since it is smaller than the sum of its proper divisors (83296579600).

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

56725317800 is a wasteful number, since it uses less digits than its factorization.

56725317800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45135 (or 45126 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 56725317800 in words is "fifty-six billion, seven hundred twenty-five million, three hundred seventeen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 373 425 680 746 850 1492 1700 1865 2984 3400 3730 6341 7460 9325 12682 14920 18650 25364 31705 37300 44729 50728 63410 74600 89458 126820 158525 178916 223645 253640 317050 357832 447290 634100 760393 894580 1118225 1268200 1520786 1789160 2236450 3041572 3801965 4472900 6083144 7603930 8945800 15207860 16683917 19009825 30415720 33367834 38019650 66735668 76039300 83419585 133471336 152078600 166839170 283626589 333678340 417097925 567253178 667356680 834195850 1134506356 1418132945 1668391700 2269012712 2836265890 3336783400 5672531780 7090664725 11345063560 14181329450 28362658900 56725317800