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18393029640 = 2335517791409
BaseRepresentation
bin10001001000010011…
…110101110000001000
31202110211201201100000
4101020103311300020
5300132103422030
612241042243000
71220540113056
oct211023656010
952424651300
1018393029640
117889427447
123693956460
1319717a12bb
14c66ad91d6
15729b41860
hex4484f5c08

18393029640 has 384 divisors, whose sum is σ = 66515904000. Its totient is φ = 4554620928.

The previous prime is 18393029587. The next prime is 18393029761. The reversal of 18393029640 is 4692039381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 13053256 + ... + 13054664.

It is an arithmetic number, because the mean of its divisors is an integer number (173218500).

Almost surely, 218393029640 is an apocalyptic number.

18393029640 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 18393029640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33257952000).

18393029640 is an abundant number, since it is smaller than the sum of its proper divisors (48122874360).

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

18393029640 is a wasteful number, since it uses less digits than its factorization.

18393029640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 18393029640 in words is "eighteen billion, three hundred ninety-three million, twenty-nine thousand, six hundred forty".