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2806468684686 = 23391867565727
BaseRepresentation
bin101000110101101110100…
…100011010101110001110
3100221021222121221211011000
4220311232210122232032
5331440121440402221
65545135055441130
7406521624135102
oct50655644325616
910837877854130
102806468684686
11992242454087
12393ab48261a6
13174858719004
1499b95d87902
154d009136e26
hex28d6e91ab8e

2806468684686 has 32 divisors (see below), whose sum is σ = 6236675988480. Its totient is φ = 935477724888.

The previous prime is 2806468684637. The next prime is 2806468684687. The reversal of 2806468684686 is 6864868646082.

2806468684686 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 468 + 6 + 84 + 6 + 86 = 666.

It is a super-4 number, since 4×28064686846864 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806468684687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4677955 + ... + 5243681.

It is an arithmetic number, because the mean of its divisors is an integer number (194896124640).

Almost surely, 22806468684686 is an apocalyptic number.

2806468684686 is an abundant number, since it is smaller than the sum of its proper divisors (3430207303794).

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

2806468684686 is a wasteful number, since it uses less digits than its factorization.

2806468684686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657605 (or 657599 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 72.

The spelling of 2806468684686 in words is "two trillion, eight hundred six billion, four hundred sixty-eight million, six hundred eighty-four thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 91867 183734 275601 551202 565727 826803 1131454 1653606 1697181 2480409 3394362 4960818 5091543 10183086 15274629 30549258 51971642309 103943284618 155914926927 311829853854 467744780781 935489561562 1403234342343 2806468684686