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18324377342381 = 112416415762381
BaseRepresentation
bin1000010101010011110100…
…00000001001000110101101
32101212210102100210222120102
410022221322000021012231
54400211311044424011
6102550034105200445
73600615103313225
oct412517200110655
971783370728512
1018324377342381
115925363326700
12207b478a90125
13a2bc9b0b4c16
14474c942d3085
1521b9d474373b
hex10aa7a0091ad

18324377342381 has 24 divisors (see below), whose sum is σ = 20665123476984. Its totient is φ = 16226862080000.

The previous prime is 18324377342371. The next prime is 18324377342443.

18324377342381 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2946732726025 + 15377644616356 = 1716605^2 + 3921434^2 .

It is not a de Polignac number, because 18324377342381 - 222 = 18324373148077 is a prime.

It is a super-2 number, since 2×183243773423812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18324377342351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298811 + ... + 6061191.

It is an arithmetic number, because the mean of its divisors is an integer number (861046811541).

Almost surely, 218324377342381 is an apocalyptic number.

18324377342381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18324377342381 is a deficient number, since it is larger than the sum of its proper divisors (2340746134603).

18324377342381 is a wasteful number, since it uses less digits than its factorization.

18324377342381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763085 (or 5763074 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 56.

The spelling of 18324377342381 in words is "eighteen trillion, three hundred twenty-four billion, three hundred seventy-seven million, three hundred forty-two thousand, three hundred eighty-one".

Divisors: 1 11 41 121 451 641 4961 7051 26281 77561 289091 3180001 5762381 63386191 236257621 697248101 2598833831 3693686221 28587172141 40630548431 151441135061 446936032741 1665852485671 18324377342381