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992939000517 = 32177178990401
BaseRepresentation
bin11100111001011111100…
…01101100001011000101
310111220221121220111010200
432130233301230023011
5112232014341004032
62040052212441113
7131510645150502
oct16345761541305
93456847814120
10992939000517
113531151a8532
12140531319199
1372831455a39
14360b676c4a9
151ac668ed47c
hexe72fc6c2c5

992939000517 has 24 divisors (see below), whose sum is σ = 1518650541720. Its totient is φ = 623004979200.

The previous prime is 992939000497. The next prime is 992939000567. The reversal of 992939000517 is 715000939299.

992939000517 is a `hidden beast` number, since 9 + 92 + 9 + 39 + 0 + 0 + 0 + 517 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120640907556 + 872298092961 = 347334^2 + 933969^2 .

It is a de Polignac number, because none of the positive numbers 2k-992939000517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992939000567) 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, 10938517 + ... + 11028917.

It is an arithmetic number, because the mean of its divisors is an integer number (63277105905).

Almost surely, 2992939000517 is an apocalyptic number.

992939000517 is the 813609-th pentagonal number.

It is an amenable number.

992939000517 is a deficient number, since it is larger than the sum of its proper divisors (525711541203).

992939000517 is a wasteful number, since it uses less digits than its factorization.

992939000517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162213 (or 162210 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 992939000517 in words is "nine hundred ninety-two billion, nine hundred thirty-nine million, five hundred seventeen", and thus it is an aban number.

Divisors: 1 3 9 17 51 153 71789 90401 215367 271203 646101 813609 1220413 1536817 3661239 4610451 10983717 13831353 6489797389 19469392167 58408176501 110326555613 330979666839 992939000517