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18062972928 = 2113271121389
BaseRepresentation
bin10000110100101000…
…110001100000000000
31201121211200002122100
4100310220301200000
5243443110113203
612144212110400
71206421510440
oct206450614000
951554602570
1018062972928
11772a093a00
123601305400
13191b2ab780
14c34d40120
1570ab96ea3
hex434a31800

18062972928 has 864 divisors, whose sum is σ = 71368970400. Its totient is φ = 4282122240.

The previous prime is 18062972903. The next prime is 18062972929. The reversal of 18062972928 is 82927926081.

18062972928 is a `hidden beast` number, since 1 + 8 + 0 + 629 + 7 + 2 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18062972929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202954708 + ... + 202954796.

It is an arithmetic number, because the mean of its divisors is an integer number (82602975).

Almost surely, 218062972928 is an apocalyptic number.

18062972928 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 18062972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35684485200).

18062972928 is an abundant number, since it is smaller than the sum of its proper divisors (53305997472).

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

18062972928 is a wasteful number, since it uses less digits than its factorization.

18062972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18062972928 in words is "eighteen billion, sixty-two million, nine hundred seventy-two thousand, nine hundred twenty-eight".