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18290748456 = 23332941229311
BaseRepresentation
bin10001000010001101…
…101010110000101000
31202012201021021221000
4101002031222300220
5244424412422311
612222550115000
71215155540151
oct210215526050
952181237830
1018290748456
117836718042
12366564ba60
13195653c3a6
14c572b2928
15720b8b056
hex44236ac28

18290748456 has 256 divisors, whose sum is σ = 54250560000. Its totient is φ = 5699635200.

The previous prime is 18290748431. The next prime is 18290748457. The reversal of 18290748456 is 65484709281.

It is a happy number.

18290748456 is a `hidden beast` number, since 182 + 9 + 0 + 7 + 4 + 8 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18290748457) 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 63 ways as a sum of consecutive naturals, for example, 58812541 + ... + 58812851.

It is an arithmetic number, because the mean of its divisors is an integer number (211916250).

Almost surely, 218290748456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18290748456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280000).

18290748456 is an abundant number, since it is smaller than the sum of its proper divisors (35959811544).

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

18290748456 is a wasteful number, since it uses less digits than its factorization.

18290748456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18290748456 in words is "eighteen billion, two hundred ninety million, seven hundred forty-eight thousand, four hundred fifty-six".