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10253846317 = 1113791516011
BaseRepresentation
bin10011000110010110…
…10100011100101101
3222110121102100210211
421203023110130231
5131444441040232
64413251302421
7512046153451
oct114313243455
928417370724
1010253846317
114392035560
121ba1baaa11
13c754787b0
146d3b60661
15400301a47
hex2632d472d

10253846317 has 32 divisors (see below), whose sum is σ = 12281794560. Its totient is φ = 8438040000.

The previous prime is 10253846153. The next prime is 10253846329. The reversal of 10253846317 is 71364835201.

10253846317 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 10253846317 - 219 = 10253322029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10253846317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253843317) 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 31 ways as a sum of consecutive naturals, for example, 1702842 + ... + 1708852.

It is an arithmetic number, because the mean of its divisors is an integer number (383806080).

Almost surely, 210253846317 is an apocalyptic number.

It is an amenable number.

10253846317 is a deficient number, since it is larger than the sum of its proper divisors (2027948243).

10253846317 is a wasteful number, since it uses less digits than its factorization.

10253846317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10253846317 in words is "ten billion, two hundred fifty-three million, eight hundred forty-six thousand, three hundred seventeen".

Divisors: 1 11 13 79 143 151 869 1027 1661 1963 6011 11297 11929 21593 66121 78143 131219 155077 474869 859573 907661 1705847 5223559 6173297 9984271 11799593 67906267 71705219 129795523 788757409 932167847 10253846317