Search a number
-
+
18861163776 = 283271389959
BaseRepresentation
bin10001100100001101…
…101000010100000000
31210200110121101122100
4101210031220110000
5302111424220101
612355324110400
71235253150450
oct214415502400
953613541570
1018861163776
117aa96a9564
1237a4695400
131a1777a050
14cacd57d60
15755cb2e86
hex464368500

18861163776 has 216 divisors, whose sum is σ = 66931679360. Its totient is φ = 4974317568.

The previous prime is 18861163759. The next prime is 18861163781. The reversal of 18861163776 is 67736116881.

18861163776 is a `hidden beast` number, since 18 + 8 + 611 + 6 + 3 + 7 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 164685 + ... + 254643.

Almost surely, 218861163776 is an apocalyptic number.

18861163776 is a gapful number since it is divisible by the number (16) 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 18861163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33465839680).

18861163776 is an abundant number, since it is smaller than the sum of its proper divisors (48070515584).

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

18861163776 is a wasteful number, since it uses less digits than its factorization.

18861163776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90001 (or 89984 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 18861163776 in words is "eighteen billion, eight hundred sixty-one million, one hundred sixty-three thousand, seven hundred seventy-six".