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18383731964640 = 25325721750330469
BaseRepresentation
bin1000010111000010010111…
…10100000011101011100000
32102002110121220000012111100
410023201023310003223200
54402144340340332030
6103033211520514400
73605116005265200
oct413411364035340
972073556005440
1018383731964640
115948551481929
12208aa8277ba00
13a34769c18c93
14477ac518a400
1521d30a4b3360
hex10b84bd03ae0

18383731964640 has 864 divisors, whose sum is σ = 77425764736320. Its totient is φ = 3946827644928.

The previous prime is 18383731964629. The next prime is 18383731964641. The reversal of 18383731964640 is 4646913738381.

It is a happy number.

18383731964640 is a `hidden beast` number, since 1 + 8 + 3 + 83 + 7 + 3 + 1 + 96 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18383731964641) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 603343326 + ... + 603373794.

It is an arithmetic number, because the mean of its divisors is an integer number (89613153630).

Almost surely, 218383731964640 is an apocalyptic number.

18383731964640 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 18383731964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38712882368160).

18383731964640 is an abundant number, since it is smaller than the sum of its proper divisors (59042032771680).

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

18383731964640 is a wasteful number, since it uses less digits than its factorization.

18383731964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31024 (or 31006 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 18383731964640 in words is "eighteen trillion, three hundred eighty-three billion, seven hundred thirty-one million, nine hundred sixty-four thousand, six hundred forty".