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10247675157 = 321766978269
BaseRepresentation
bin10011000101100111…
…10001110100010101
3222110011210211120100
421202303301310111
5131441401101112
64412511124313
7511642541646
oct114263616425
928404724510
1010247675157
114389600025
121b9bb13699
13c740c7915
146d2dd56cd
153ee9d32dc
hex262cf1d15

10247675157 has 12 divisors (see below), whose sum is σ = 15672915180. Its totient is φ = 6429913728.

The previous prime is 10247675143. The next prime is 10247675189. The reversal of 10247675157 is 75157674201.

10247675157 is a `hidden beast` number, since 102 + 476 + 75 + 1 + 5 + 7 = 666.

10247675157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8717770161 + 1529904996 = 93369^2 + 39114^2 .

It is not a de Polignac number, because 10247675157 - 210 = 10247674133 is a prime.

It is a super-2 number, since 2×102476751572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10247675257) 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 11 ways as a sum of consecutive naturals, for example, 33488982 + ... + 33489287.

It is an arithmetic number, because the mean of its divisors is an integer number (1306076265).

Almost surely, 210247675157 is an apocalyptic number.

10247675157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10247675157 is a deficient number, since it is larger than the sum of its proper divisors (5425240023).

10247675157 is a wasteful number, since it uses less digits than its factorization.

10247675157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66978292 (or 66978289 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 10247675157 in words is "ten billion, two hundred forty-seven million, six hundred seventy-five thousand, one hundred fifty-seven".

Divisors: 1 3 9 17 51 153 66978269 200934807 602804421 1138630573 3415891719 10247675157