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10005610044 = 2232930239511
BaseRepresentation
bin10010101000110000…
…10111111000111100
3221211022022122122210
421110120113320330
5130442414010134
64332502540420
7502643165523
oct112430277074
927738278583
1010005610044
1142749a6a11
121b32a37710
13c35c02b21
146acbc34ba
153d861a2e9
hex254617e3c

10005610044 has 48 divisors (see below), whose sum is σ = 24162001920. Its totient is φ = 3218792640.

The previous prime is 10005610033. The next prime is 10005610051. The reversal of 10005610044 is 44001650001.

10005610044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100056100442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005610044.

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 15 ways as a sum of consecutive naturals, for example, 1047249 + ... + 1056759.

It is an arithmetic number, because the mean of its divisors is an integer number (503375040).

Almost surely, 210005610044 is an apocalyptic number.

It is an amenable number.

10005610044 is an abundant number, since it is smaller than the sum of its proper divisors (14156391876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005610044 is a wasteful number, since it uses less digits than its factorization.

10005610044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 10005610044 in words is "ten billion, five million, six hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 3023 6046 9069 9511 12092 18138 19022 28533 36276 38044 57066 87667 114132 175334 263001 275819 350668 526002 551638 827457 1052004 1103276 1654914 3309828 28751753 57503506 86255259 115007012 172510518 345021036 833800837 1667601674 2501402511 3335203348 5002805022 10005610044