Search a number
-
+
18926980300800 = 22033521121317
BaseRepresentation
bin1000100110110110001111…
…11100000000000000000000
32111000101211210121000202000
410103123013330000000000
54440044423424111200
6104130533522024000
73662300134043265
oct423330774000000
974011753530660
1018926980300800
116037983a55400
1221582134a8000
13a73a640acac0
144960dc14926c
1522c502d78300
hex1136c7f00000

18926980300800 has 3024 divisors, whose sum is σ = 87157260015840. Its totient is φ = 3986266521600.

The previous prime is 18926980300763. The next prime is 18926980300829. The reversal of 18926980300800 is 800308962981.

It is a happy number.

18926980300800 is a `hidden beast` number, since 189 + 2 + 6 + 9 + 80 + 300 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1113351782392 + ... + 1113351782408.

Almost surely, 218926980300800 is an apocalyptic number.

18926980300800 is a gapful number since it is divisible by the number (10) 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 18926980300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43578630007920).

18926980300800 is an abundant number, since it is smaller than the sum of its proper divisors (68230279715040).

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

18926980300800 is an equidigital number, since it uses as much as digits as its factorization.

18926980300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 18926980300800 in words is "eighteen trillion, nine hundred twenty-six billion, nine hundred eighty million, three hundred thousand, eight hundred".