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18418046976 = 21135717311
BaseRepresentation
bin10001001001110011…
…010001100000000000
31202112120210201200000
4101021303101200000
5300210010000401
612243334400000
71221262546650
oct211163214000
952476721600
1018418046976
1178a156432a
1236a0200000
131976a20364
14c6a16c360
1572be34186
hex449cd1800

18418046976 has 576 divisors, whose sum is σ = 66968778240. Its totient is φ = 4936826880.

The previous prime is 18418046921. The next prime is 18418046987. The reversal of 18418046976 is 67964081481.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59221861 + ... + 59222171.

It is an arithmetic number, because the mean of its divisors is an integer number (116265240).

Almost surely, 218418046976 is an apocalyptic number.

18418046976 is a gapful number since it is divisible by the number (16) 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 18418046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33484389120).

18418046976 is an abundant number, since it is smaller than the sum of its proper divisors (48550731264).

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

18418046976 is an equidigital number, since it uses as much as digits as its factorization.

18418046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18418046976 in words is "eighteen billion, four hundred eighteen million, forty-six thousand, nine hundred seventy-six".