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10286286516 = 22321125975471
BaseRepresentation
bin10011001010001110…
…00100011010110100
3222112212110111101200
421211013010122310
5132031242132031
64420410452500
7512621664342
oct114507043264
928485414350
1010286286516
1143a9382340
121bb0a34130
13c7c0c638c
146d81a6992
154030ad8e6
hex2651c46b4

10286286516 has 36 divisors (see below), whose sum is σ = 28365215424. Its totient is φ = 3117056400.

The previous prime is 10286286511. The next prime is 10286286559. The reversal of 10286286516 is 61568268201.

10286286516 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 628 + 6 + 5 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10286286511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12987340 + ... + 12988131.

Almost surely, 210286286516 is an apocalyptic number.

It is an amenable number.

10286286516 is an abundant number, since it is smaller than the sum of its proper divisors (18078928908).

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

10286286516 is a wasteful number, since it uses less digits than its factorization.

10286286516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25975492 (or 25975487 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10286286516 in words is "ten billion, two hundred eighty-six million, two hundred eighty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25975471 51950942 77926413 103901884 155852826 233779239 285730181 311705652 467558478 571460362 857190543 935116956 1142920724 1714381086 2571571629 3428762172 5143143258 10286286516