Search a number
-
+
18294804864 = 27327171131181
BaseRepresentation
bin10001000010011101…
…001001000110000000
31202012222220101021100
4101002131021012000
5244431432223424
612223213054400
71215235163340
oct210235110600
952188811240
1018294804864
117838a38746
123666a87400
13195732c82b
14c57a4ad20
157211dcdc9
hex442749180

18294804864 has 384 divisors, whose sum is σ = 64323305280. Its totient is φ = 4871946240.

The previous prime is 18294804821. The next prime is 18294804893. The reversal of 18294804864 is 46840849281.

It is a happy number.

18294804864 is a `hidden beast` number, since 1 + 82 + 9 + 4 + 80 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 18294804864.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15490354 + ... + 15491534.

Almost surely, 218294804864 is an apocalyptic number.

18294804864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18294804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32161652640).

18294804864 is an abundant number, since it is smaller than the sum of its proper divisors (46028500416).

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

18294804864 is a wasteful number, since it uses less digits than its factorization.

18294804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18294804864 in words is "eighteen billion, two hundred ninety-four million, eight hundred four thousand, eight hundred sixty-four".