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18328923648 = 29347193323
BaseRepresentation
bin10001000100011111…
…010010111000000000
31202022101002210110000
4101010133102320000
5300014201024043
612230432240000
71216131165120
oct210437227000
952271083400
1018328923648
117856221692
1236763a0000
131961417469
14c5c3acc80
157241cc2d3
hex4447d2e00

18328923648 has 400 divisors, whose sum is σ = 65832750720. Its totient is φ = 4959719424.

The previous prime is 18328923647. The next prime is 18328923673. The reversal of 18328923648 is 84632982381.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 18328923594 and 18328923603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18328923647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5514115 + ... + 5517437.

Almost surely, 218328923648 is an apocalyptic number.

18328923648 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 18328923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32916375360).

18328923648 is an abundant number, since it is smaller than the sum of its proper divisors (47503827072).

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

18328923648 is an equidigital number, since it uses as much as digits as its factorization.

18328923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3354 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 18328923648 in words is "eighteen billion, three hundred twenty-eight million, nine hundred twenty-three thousand, six hundred forty-eight".