Search a number
-
+
18913847214080 = 21657213313779
BaseRepresentation
bin1000100110011101110010…
…01001010000000000000000
32110222010221112101002121202
410103032321021100000000
54434341024341322310
6104120522414240332
73661323523460600
oct423167111200000
973863845332552
1018913847214080
11603235473aa25
1221557691b60a8
13a72750281680
14495613c58c00
1522bed4dd83a5
hex1133b9250000

18913847214080 has 1632 divisors, whose sum is σ = 61049809981440. Its totient is φ = 5564918661120.

The previous prime is 18913847214061. The next prime is 18913847214089. The reversal of 18913847214080 is 8041274831981.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18913847214089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239415787481 + ... + 239415787559.

Almost surely, 218913847214080 is an apocalyptic number.

18913847214080 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 18913847214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30524904990720).

18913847214080 is an abundant number, since it is smaller than the sum of its proper divisors (42135962767360).

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

18913847214080 is an equidigital number, since it uses as much as digits as its factorization.

18913847214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 56.

The spelling of 18913847214080 in words is "eighteen trillion, nine hundred thirteen billion, eight hundred forty-seven million, two hundred fourteen thousand, eighty".