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18940534560 = 253451976919
BaseRepresentation
bin10001101000111100…
…011001111100100000
31210212222221211220000
4101220330121330200
5302242234101220
612411241220000
71240235613243
oct215074317440
953788854800
1018940534560
11803a48aa52
123807191600
131a2b049bcc
14cb96d925a
1575cc40390
hex468f19f20

18940534560 has 240 divisors, whose sum is σ = 70363339200. Its totient is φ = 4784914944.

The previous prime is 18940534511. The next prime is 18940534573. The reversal of 18940534560 is 6543504981.

18940534560 is a `hidden beast` number, since 1 + 89 + 4 + 0 + 5 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 207781 + ... + 284699.

It is an arithmetic number, because the mean of its divisors is an integer number (293180580).

Almost surely, 218940534560 is an apocalyptic number.

18940534560 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 18940534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35181669600).

18940534560 is an abundant number, since it is smaller than the sum of its proper divisors (51422804640).

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

18940534560 is a wasteful number, since it uses less digits than its factorization.

18940534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76965 (or 76948 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 18940534560 in words is "eighteen billion, nine hundred forty million, five hundred thirty-four thousand, five hundred sixty".