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18416444461481 = 1171191123458611
BaseRepresentation
bin1000010111111111010011…
…01000010101000110101001
32102012121001200100020000102
410023333221220111012221
54403213334240231411
6103100221531115145
73610354443026123
oct413775150250651
972177050306012
1018416444461481
115960408867990
122095291ba2ab5
13a378812519a1
1447950995c213
1521e0c22ded3b
hex10bfe9a151a9

18416444461481 has 16 divisors (see below), whose sum is σ = 20480302227456. Its totient is φ = 16419995130000.

The previous prime is 18416444461447. The next prime is 18416444461489.

18416444461481 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18416444461481 - 210 = 18416444460457 is a prime.

It is a super-2 number, since 2×184164444614812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18416444461489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61580135 + ... + 61878476.

It is an arithmetic number, because the mean of its divisors is an integer number (1280018889216).

Almost surely, 218416444461481 is an apocalyptic number.

18416444461481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18416444461481 is a deficient number, since it is larger than the sum of its proper divisors (2063857765975).

18416444461481 is a wasteful number, since it uses less digits than its factorization.

18416444461481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123458884.

The product of its digits is 9437184, while the sum is 56.

The spelling of 18416444461481 in words is "eighteen trillion, four hundred sixteen billion, four hundred forty-four million, four hundred sixty-one thousand, four hundred eighty-one".

Divisors: 1 11 71 191 781 2101 13561 149171 123458611 1358044721 8765561381 23580594701 96421175191 259386541711 1674222223771 18416444461481