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10290684820 = 2251339579557
BaseRepresentation
bin10011001010101111…
…10110001110010100
3222120011201221201211
421211113312032110
5132033403403240
64421045031204
7513004243363
oct114527661624
928504657654
1010290684820
1144009068a9
121bb23b5504
13c7cca6320
146d89cd7da
1540367bbea
hex2655f6394

10290684820 has 24 divisors (see below), whose sum is σ = 23272780104. Its totient is φ = 3799637376.

The previous prime is 10290684799. The next prime is 10290684823. The reversal of 10290684820 is 2848609201.

It can be written as a sum of positive squares in 4 ways, for example, as 1013912964 + 9276771856 = 31842^2 + 96316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290684823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19789519 + ... + 19790038.

It is an arithmetic number, because the mean of its divisors is an integer number (969699171).

Almost surely, 210290684820 is an apocalyptic number.

10290684820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10290684820 is an abundant number, since it is smaller than the sum of its proper divisors (12982095284).

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

10290684820 is a wasteful number, since it uses less digits than its factorization.

10290684820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39579579 (or 39579577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10290684820 in words is "ten billion, two hundred ninety million, six hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 39579557 79159114 158318228 197897785 395795570 514534241 791591140 1029068482 2058136964 2572671205 5145342410 10290684820