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10092490416 = 2432281249419
BaseRepresentation
bin10010110011000111…
…10010111010110000
3222001100210122010100
421121203302322300
5131132134143131
64345245032400
7505046516211
oct113143627260
928040718110
1010092490416
114309a47478
121b57b55700
13c4ac01b28
146ba55b408
153e107c7e6
hex2598f2eb0

10092490416 has 60 divisors (see below), whose sum is σ = 28345585320. Its totient is φ = 3352177920.

The previous prime is 10092490409. The next prime is 10092490451. The reversal of 10092490416 is 61409429001.

It is a happy number.

10092490416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 84246 + ... + 165173.

It is an arithmetic number, because the mean of its divisors is an integer number (472426422).

Almost surely, 210092490416 is an apocalyptic number.

10092490416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10092490416 is an abundant number, since it is smaller than the sum of its proper divisors (18253094904).

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

10092490416 is a wasteful number, since it uses less digits than its factorization.

10092490416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249714 (or 249705 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10092490416 in words is "ten billion, ninety-two million, four hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 40464 249419 498838 748257 997676 1496514 1995352 2244771 2993028 3990704 4489542 5986056 8979084 11972112 17958168 35916336 70086739 140173478 210260217 280346956 420520434 560693912 630780651 841040868 1121387824 1261561302 1682081736 2523122604 3364163472 5046245208 10092490416