Search a number
-
+
10857114864 = 2432591277909
BaseRepresentation
bin10100001110010001…
…00110110011110000
31001000122120120200100
422013020212303300
5134213410133424
64553201352400
7533022645051
oct120710466360
931018516610
1010857114864
114671616102
122130038700
13104044a02b
1474dd18728
15438267dc9
hex287226cf0

10857114864 has 60 divisors (see below), whose sum is σ = 30899863800. Its totient is φ = 3557695872.

The previous prime is 10857114857. The next prime is 10857114893. The reversal of 10857114864 is 46841175801.

10857114864 is a `hidden beast` number, since 1 + 0 + 8 + 571 + 14 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630459 + ... + 647450.

It is an arithmetic number, because the mean of its divisors is an integer number (514997730).

Almost surely, 210857114864 is an apocalyptic number.

It is an amenable number.

10857114864 is an abundant number, since it is smaller than the sum of its proper divisors (20042748936).

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

10857114864 is a wasteful number, since it uses less digits than its factorization.

10857114864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277982 (or 1277973 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10857114864 in words is "ten billion, eight hundred fifty-seven million, one hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 1277909 2555818 3833727 5111636 7667454 10223272 11501181 15334908 20446544 23002362 30669816 46004724 61339632 75396631 92009448 150793262 184018896 226189893 301586524 452379786 603173048 678569679 904759572 1206346096 1357139358 1809519144 2714278716 3619038288 5428557432 10857114864