Search a number
-
+
18534374208 = 263372952837
BaseRepresentation
bin10001010000101111…
…000001101101000000
31202211200200202122000
4101100233001231000
5300424244433313
612303051544000
71224204403260
oct212057015500
952750622560
1018534374208
117951197739
12371315b000
131994b5c63c
14c7b7ad7a0
15737261673
hex450bc1b40

18534374208 has 224 divisors, whose sum is σ = 64420089600. Its totient is φ = 5112834048.

The previous prime is 18534374153. The next prime is 18534374249. The reversal of 18534374208 is 80247343581.

18534374208 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 437 + 4 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324366 + ... + 377202.

Almost surely, 218534374208 is an apocalyptic number.

18534374208 is a gapful number since it is divisible by the number (18) 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 18534374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32210044800).

18534374208 is an abundant number, since it is smaller than the sum of its proper divisors (45885715392).

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

18534374208 is a wasteful number, since it uses less digits than its factorization.

18534374208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52894 (or 52878 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 18534374208 in words is "eighteen billion, five hundred thirty-four million, three hundred seventy-four thousand, two hundred eight".