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10088796249 = 327247832
BaseRepresentation
bin10010110010101011…
…01101000001011001
3222001002211221200100
421121111231001121
5131130212434444
64345033530013
7505003232100
oct113125550131
928032757610
1010088796249
114307953a44
121b56873909
13c4a20a52c
146b9c79037
153e0a9ce69
hex25956d059

10088796249 has 27 divisors (see below), whose sum is σ = 16955467893. Its totient is φ = 5763821112.

The previous prime is 10088796239. The next prime is 10088796259. The reversal of 10088796249 is 94269788001.

The square root of 10088796249 is 100443.

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

10088796249 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 8 + 7 + 9 + 624 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (10088796239) and next prime (10088796259).

It is not a de Polignac number, because 10088796249 - 27 = 10088796121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10088796195 and 10088796204.

It is not an unprimeable number, because it can be changed into a prime (10088796239) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2106912 + ... + 2111694.

Almost surely, 210088796249 is an apocalyptic number.

10088796249 is the 100443-rd square number.

10088796249 is the 50222-nd centered octagonal number.

It is an amenable number.

10088796249 is a deficient number, since it is larger than the sum of its proper divisors (6866671644).

10088796249 is an frugal number, since it uses more digits than its factorization.

10088796249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 100887 and 96249, that added together give a square (197136 = 4442).

The spelling of 10088796249 in words is "ten billion, eighty-eight million, seven hundred ninety-six thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 4783 14349 33481 43047 100443 234367 301329 703101 2109303 22877089 68631267 160139623 205893801 480418869 1120977361 1441256607 3362932083 10088796249