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10252957967 = 77320064497
BaseRepresentation
bin10011000110001111…
…11011100100001111
3222110112202020012222
421203013323210033
5131444224123332
64413220245555
7512035463510
oct114307734417
928415666188
1010252957967
11439158908a
121ba18408bb
13c75227345
146d39aca07
154001c8712
hex2631fb90f

10252957967 has 8 divisors (see below), whose sum is σ = 11878182816. Its totient is φ = 8667862272.

The previous prime is 10252957951. The next prime is 10252957987. The reversal of 10252957967 is 76975925201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10252957967 - 24 = 10252957951 is a prime.

It is a super-3 number, since 3×102529579673 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252957937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10031738 + ... + 10032759.

It is an arithmetic number, because the mean of its divisors is an integer number (1484772852).

Almost surely, 210252957967 is an apocalyptic number.

10252957967 is a deficient number, since it is larger than the sum of its proper divisors (1625224849).

10252957967 is an equidigital number, since it uses as much as digits as its factorization.

10252957967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064577.

The product of its (nonzero) digits is 2381400, while the sum is 53.

The spelling of 10252957967 in words is "ten billion, two hundred fifty-two million, nine hundred fifty-seven thousand, nine hundred sixty-seven".

Divisors: 1 7 73 511 20064497 140451479 1464708281 10252957967