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10041008840 = 2351162121601
BaseRepresentation
bin10010101100111110…
…11010001011001000
3221220202221002200022
421112133122023020
5131030444240330
64340205400012
7503553111152
oct112637321310
927822832608
1010041008840
114292984615
121b42869008
13c40348265
146b3799ad2
153db7adae5
hex2567da2c8

10041008840 has 32 divisors (see below), whose sum is σ = 22595259960. Its totient is φ = 4015872000.

The previous prime is 10041008821. The next prime is 10041008863. The reversal of 10041008840 is 4880014001.

10041008840 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 4 ways, for example, as 7821279844 + 2219728996 = 88438^2 + 47114^2 .

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 7 ways as a sum of consecutive naturals, for example, 454040 + ... + 475640.

Almost surely, 210041008840 is an apocalyptic number.

10041008840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041008840 is an abundant number, since it is smaller than the sum of its proper divisors (12554251120).

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

10041008840 is a wasteful number, since it uses less digits than its factorization.

10041008840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33233 (or 33229 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 10041008840 in words is "ten billion, forty-one million, eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11621 21601 23242 43202 46484 58105 86404 92968 108005 116210 172808 216010 232420 432020 464840 864040 251025221 502050442 1004100884 1255126105 2008201768 2510252210 5020504420 10041008840