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656375428900 = 2252810172
BaseRepresentation
bin10011000110100110000…
…01100011011100100100
32022202012221011120102101
421203103001203130210
541223224102211100
61221311255221444
765264411043022
oct11432301433444
92282187146371
10656375428900
112334048aa754
12a7262977884
1349b854b3669
1423aa95cd712
15121192a886a
hex98d3063724

656375428900 has 27 divisors (see below), whose sum is σ = 1424352261619. Its totient is φ = 262546930880.

The previous prime is 656375428789. The next prime is 656375428927. The reversal of 656375428900 is 9824573656.

The square root of 656375428900 is 810170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 156368048356 + 500007380544 = 395434^2 + 707112^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 8061192 + ... + 8142208.

Almost surely, 2656375428900 is an apocalyptic number.

656375428900 is the 810170-th square number.

It is an amenable number.

656375428900 is an abundant number, since it is smaller than the sum of its proper divisors (767976832719).

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

656375428900 is an frugal number, since it uses more digits than its factorization.

656375428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162048 (or 81024 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 656375428900 in words is "six hundred fifty-six billion, three hundred seventy-five million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 81017 162034 324068 405085 810170 1620340 2025425 4050850 8101700 6563754289 13127508578 26255017156 32818771445 65637542890 131275085780 164093857225 328187714450 656375428900