Search a number
-
+
18744190020864 = 2836711172772
BaseRepresentation
bin1000100001100001110001…
…10010011010110100000000
32110100221000211102201000000
410100300320302122310000
54424101100121131424
6103510543444000000
73643136334230250
oct420607062326400
973327024381000
1018744190020864
115a77403674650
1221288bb390000
13a5c753362649
1448b31b939960
152278a57053c9
hex110c38c9ad00

18744190020864 has 1512 divisors, whose sum is σ = 74321592182208. Its totient is φ = 4565688975360.

The previous prime is 18744190020863. The next prime is 18744190020971. The reversal of 18744190020864 is 46802009144781.

18744190020864 is a `hidden beast` number, since 18 + 7 + 4 + 419 + 0 + 0 + 208 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18744190020864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18744190020863) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 67668555894 + ... + 67668556170.

It is an arithmetic number, because the mean of its divisors is an integer number (49154492184).

Almost surely, 218744190020864 is an apocalyptic number.

18744190020864 is a gapful number since it is divisible by the number (14) 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 18744190020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37160796091104).

18744190020864 is an abundant number, since it is smaller than the sum of its proper divisors (55577402161344).

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

18744190020864 is an frugal number, since it uses more digits than its factorization.

18744190020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 18744190020864 in words is "eighteen trillion, seven hundred forty-four billion, one hundred ninety million, twenty thousand, eight hundred sixty-four".