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18940234425840 = 24345713971372417
BaseRepresentation
bin1000100111001110111011…
…11100011110010111110000
32111001200001111120100020000
410103213131330132113300
54440304100003111330
6104141005031550000
73663246444203250
oct423473574362760
974050044510200
1018940234425840
116042565620752
12215a8b222b300
13a75097009940
144969d8545960
1522ca2b776560
hex1139ddf1e5f0

18940234425840 has 1600 divisors, whose sum is σ = 82428575733504. Its totient is φ = 3924490715136.

The previous prime is 18940234425809. The next prime is 18940234425859. The reversal of 18940234425840 is 4852443204981.

18940234425840 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 0 + 2 + 344 + 258 + 40 = 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 319 ways as a sum of consecutive naturals, for example, 7836256312 + ... + 7836258728.

Almost surely, 218940234425840 is an apocalyptic number.

18940234425840 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 18940234425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41214287866752).

18940234425840 is an abundant number, since it is smaller than the sum of its proper divisors (63488341307664).

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

18940234425840 is a wasteful number, since it uses less digits than its factorization.

18940234425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 18940234425840 in words is "eighteen trillion, nine hundred forty billion, two hundred thirty-four million, four hundred twenty-five thousand, eight hundred forty".