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10858082431 = 7331656217
BaseRepresentation
bin10100001110011000…
…10011000001111111
31001000201101201221011
422013030103001333
5134214132114211
64553234220051
7533034115000
oct120714230177
931021351834
1010858082431
114672117049
122130424627
1310406c8561
147500cb1a7
154383a9921
hex28731307f

10858082431 has 8 divisors (see below), whose sum is σ = 12662487200. Its totient is φ = 9306927504.

The previous prime is 10858082429. The next prime is 10858082449. The reversal of 10858082431 is 13428085801.

10858082431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10858082431 - 21 = 10858082429 is a prime.

It is a super-2 number, since 2×108580824312 (a number of 21 digits) contains 22 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 (10858082401) 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 7 ways as a sum of consecutive naturals, for example, 15827766 + ... + 15828451.

It is an arithmetic number, because the mean of its divisors is an integer number (1582810900).

Almost surely, 210858082431 is an apocalyptic number.

10858082431 is a deficient number, since it is larger than the sum of its proper divisors (1804404769).

10858082431 is an frugal number, since it uses more digits than its factorization.

10858082431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31656238 (or 31656224 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 10858082431 in words is "ten billion, eight hundred fifty-eight million, eighty-two thousand, four hundred thirty-one".

Divisors: 1 7 49 343 31656217 221593519 1551154633 10858082431