Search a number
-
+
18421940865132 = 223372112272412111
BaseRepresentation
bin1000011000001001100010…
…01111011100100001101100
32102020010020201210110101000
410030010301033130201230
54403311113330141012
6103102531154120300
73610640603501430
oct414046117344154
972203221713330
1018421940865132
1159627793a5342
122096366880090
13a38248ba673c
144798ab91a9c0
1521e2e4aedddc
hex10c1313dc86c

18421940865132 has 384 divisors, whose sum is σ = 55338579394560. Its totient is φ = 5191288704000.

The previous prime is 18421940865061. The next prime is 18421940865221. The reversal of 18421940865132 is 23156804912481.

18421940865132 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 1 + 9 + 40 + 86 + 513 + 2 = 666.

It is a super-2 number, since 2×184219408651322 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8726640757 + ... + 8726642867.

It is an arithmetic number, because the mean of its divisors is an integer number (144110883840).

Almost surely, 218421940865132 is an apocalyptic number.

18421940865132 is a gapful number since it is divisible by the number (12) 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 18421940865132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669289697280).

18421940865132 is an abundant number, since it is smaller than the sum of its proper divisors (36916638529428).

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

18421940865132 is a wasteful number, since it uses less digits than its factorization.

18421940865132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18421940865132 in words is "eighteen trillion, four hundred twenty-one billion, nine hundred forty million, eight hundred sixty-five thousand, one hundred thirty-two".