Search a number
-
+
19677774852 = 223462179769
BaseRepresentation
bin10010010100111000…
…110000010000000100
31212210101012112110000
4102110320300100010
5310300002243402
613012335001300
71264430216661
oct222470602004
955711175400
1019677774852
11838865554a
123992069230
131b179c7978
14d495a8a68
157a281bc1c
hex494e30404

19677774852 has 60 divisors (see below), whose sum is σ = 51455131420. Its totient is φ = 6557531904.

The previous prime is 19677774833. The next prime is 19677774877. The reversal of 19677774852 is 25847777691.

19677774852 is a `hidden beast` number, since 19 + 6 + 77 + 77 + 485 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10686183876 + 8991590976 = 103374^2 + 94824^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19677774852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2009424 + ... + 2019192.

Almost surely, 219677774852 is an apocalyptic number.

19677774852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19677774852 is an abundant number, since it is smaller than the sum of its proper divisors (31777356568).

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

19677774852 is a wasteful number, since it uses less digits than its factorization.

19677774852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002 (or 15991 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 19677774852 in words is "nineteen billion, six hundred seventy-seven million, seven hundred seventy-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6217 9769 12434 18651 19538 24868 29307 37302 39076 55953 58614 74604 87921 111906 117228 167859 175842 223812 263763 335718 351684 503577 527526 671436 791289 1007154 1055052 1582578 2014308 3165156 60733873 121467746 182201619 242935492 364403238 546604857 728806476 1093209714 1639814571 2186419428 3279629142 4919443713 6559258284 9838887426 19677774852