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18483691968 = 26357315477
BaseRepresentation
bin10001001101101101…
…101100000111000000
31202201011022211200000
4101031231230013000
5300323311120333
612254041400000
71223020534530
oct211555540700
952634284600
1018483691968
117925620395
1236ba199000
1319874c5851
14c74b794c0
15732a9e713
hex44db6c1c0

18483691968 has 336 divisors, whose sum is σ = 64828667904. Its totient is φ = 5109765120.

The previous prime is 18483691931. The next prime is 18483691979. The reversal of 18483691968 is 86919638481.

18483691968 is a `hidden beast` number, since 1 + 8 + 483 + 6 + 91 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3372046 + ... + 3377522.

It is an arithmetic number, because the mean of its divisors is an integer number (192942464).

Almost surely, 218483691968 is an apocalyptic number.

18483691968 is a gapful number since it is divisible by the number (18) 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 18483691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32414333952).

18483691968 is an abundant number, since it is smaller than the sum of its proper divisors (46344975936).

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

18483691968 is an equidigital number, since it uses as much as digits as its factorization.

18483691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5520 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 18483691968 in words is "eighteen billion, four hundred eighty-three million, six hundred ninety-one thousand, nine hundred sixty-eight".