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18424311840 = 2534511231379
BaseRepresentation
bin10001001010001011…
…001011000000100000
31202120000121000110000
4101022023023000200
5300213110434330
612244120540000
71221400031604
oct211213130040
952500530400
1018424311840
1178a5053200
1236a2321600
131978104a8c
14c6ad1d504
1572c770560
hex44a2cb020

18424311840 has 720 divisors, whose sum is σ = 73971152640. Its totient is φ = 4311014400.

The previous prime is 18424311827. The next prime is 18424311847. The reversal of 18424311840 is 4811342481.

It is a happy number.

18424311840 is a `hidden beast` number, since 1 + 8 + 42 + 431 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×184243118403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18424311795 and 18424311804.

It is not an unprimeable number, because it can be changed into a prime (18424311847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48612771 + ... + 48613149.

It is an arithmetic number, because the mean of its divisors is an integer number (102737712).

Almost surely, 218424311840 is an apocalyptic number.

18424311840 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 18424311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36985576320).

18424311840 is an abundant number, since it is smaller than the sum of its proper divisors (55546840800).

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

18424311840 is a wasteful number, since it uses less digits than its factorization.

18424311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18424311840 in words is "eighteen billion, four hundred twenty-four million, three hundred eleven thousand, eight hundred forty".