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10014513524 = 22181276421
BaseRepresentation
bin10010101001110100…
…10101100101110100
3221211221001222221022
421110322111211310
5131002203413044
64333421440312
7503111650301
oct112472254564
927757058838
1010014513524
114279a28264
121b35a10098
13c379cc562
146b00600a8
153d92c83ee
hex254e95974

10014513524 has 18 divisors (see below), whose sum is σ = 17622989622. Its totient is φ = 4979527200.

The previous prime is 10014513491. The next prime is 10014513569. The reversal of 10014513524 is 42531541001.

10014513524 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 3 ways, for example, as 3010497424 + 7004016100 = 54868^2 + 83690^2 .

It is a super-2 number, since 2×100145135242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10014513493 and 10014513502.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 92834 + ... + 169254.

It is an arithmetic number, because the mean of its divisors is an integer number (979054979).

Almost surely, 210014513524 is an apocalyptic number.

It is an amenable number.

10014513524 is a deficient number, since it is larger than the sum of its proper divisors (7608476098).

10014513524 is an equidigital number, since it uses as much as digits as its factorization.

10014513524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76787 (or 76604 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 10014513524 in words is "ten billion, fourteen million, five hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 4 181 362 724 32761 65522 76421 131044 152842 305684 13832201 27664402 55328804 2503628381 5007256762 10014513524