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18482432640 = 2735717411973
BaseRepresentation
bin10001001101101000…
…111000101010000000
31202201001221212012020
4101031220320222000
5300323000321030
612253554401440
71223004041160
oct211550705200
952631855166
1018482432640
117924940221
1236b9890280
131987174599
14c7492c5a0
15732901510
hex44da38a80

18482432640 has 512 divisors, whose sum is σ = 73065162240. Its totient is φ = 3877109760.

The previous prime is 18482432629. The next prime is 18482432651. The reversal of 18482432640 is 4623428481.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18482432629) and next prime (18482432651).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 18482432592 and 18482432601.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9366694 + ... + 9368666.

It is an arithmetic number, because the mean of its divisors is an integer number (142705395).

Almost surely, 218482432640 is an apocalyptic number.

18482432640 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 18482432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36532581120).

18482432640 is an abundant number, since it is smaller than the sum of its proper divisors (54582729600).

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

18482432640 is a wasteful number, since it uses less digits than its factorization.

18482432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 18482432640 in words is "eighteen billion, four hundred eighty-two million, four hundred thirty-two thousand, six hundred forty".