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10249313591 = 11313955399
BaseRepresentation
bin10011000101110100…
…00001110100110111
3222110021220002002002
421202322001310313
5131442311013331
64413010205515
7511662504506
oct114272016467
928407802062
1010249313591
11438a51a000
121ba058389b
13c7454c5ca
146d330083d
153eec089cb
hex262e81d37

10249313591 has 16 divisors (see below), whose sum is σ = 11354784000. Its totient is φ = 9250358040.

The previous prime is 10249313579. The next prime is 10249313593. The reversal of 10249313591 is 19531394201.

10249313591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10249313591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249313593) 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 15 ways as a sum of consecutive naturals, for example, 157310 + ... + 212708.

It is an arithmetic number, because the mean of its divisors is an integer number (709674000).

Almost surely, 210249313591 is an apocalyptic number.

10249313591 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10249313591 is a deficient number, since it is larger than the sum of its proper divisors (1105470409).

10249313591 is an equidigital number, since it uses as much as digits as its factorization.

10249313591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55571 (or 55549 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 10249313591 in words is "ten billion, two hundred forty-nine million, three hundred thirteen thousand, five hundred ninety-one".

Divisors: 1 11 121 139 1331 1529 16819 55399 185009 609389 6703279 7700461 73736069 84705071 931755781 10249313591