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199791305664 = 26310211019177
BaseRepresentation
bin1011101000010001111…
…1010110001111000000
3201002200210120220200120
42322010133112033000
511233133033240124
6231441033020240
720302005035466
oct2720437261700
9632623526616
10199791305664
1177804a90045
1232879854680
1315ac000c6c2
1499544b8836
1552e4e9dd79
hex2e847d63c0

199791305664 has 56 divisors (see below), whose sum is σ = 529132757328. Its totient is φ = 66531809280.

The previous prime is 199791305641. The next prime is 199791305669. The reversal of 199791305664 is 466503197991.

It is a junction number, because it is equal to n+sod(n) for n = 199791305598 and 199791305607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199791305669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313557 + ... + 705620.

It is an arithmetic number, because the mean of its divisors is an integer number (9448799238).

Almost surely, 2199791305664 is an apocalyptic number.

It is an amenable number.

199791305664 is an abundant number, since it is smaller than the sum of its proper divisors (329341451664).

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

199791305664 is a wasteful number, since it uses less digits than its factorization.

199791305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020213 (or 1020203 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 199791305664 in words is "one hundred ninety-nine billion, seven hundred ninety-one million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1021 2042 3063 4084 6126 8168 12252 16336 24504 32672 49008 65344 98016 196032 1019177 2038354 3057531 4076708 6115062 8153416 12230124 16306832 24460248 32613664 48920496 65227328 97840992 195681984 1040579717 2081159434 3121739151 4162318868 6243478302 8324637736 12486956604 16649275472 24973913208 33298550944 49947826416 66597101888 99895652832 199791305664