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18744972480 = 2633513179817
BaseRepresentation
bin10001011101010010…
…011001010011000000
31210101100222021011000
4101131102121103000
5301342203104410
612340013452000
71232342431353
oct213522312300
953340867130
1018744972480
117a4a0592a3
1237717a1000
1319c96878c0
14c9b75029a
1574a9b0dc0
hex45d4994c0

18744972480 has 448 divisors, whose sum is σ = 75411665280. Its totient is φ = 4342284288.

The previous prime is 18744972479. The next prime is 18744972509. The reversal of 18744972480 is 8427944781.

18744972480 is a `hidden beast` number, since 1 + 8 + 74 + 4 + 97 + 2 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904532 + ... + 1914348.

It is an arithmetic number, because the mean of its divisors is an integer number (168329610).

Almost surely, 218744972480 is an apocalyptic number.

18744972480 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 18744972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705832640).

18744972480 is an abundant number, since it is smaller than the sum of its proper divisors (56666692800).

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

18744972480 is a wasteful number, since it uses less digits than its factorization.

18744972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 18744972480 in words is "eighteen billion, seven hundred forty-four million, nine hundred seventy-two thousand, four hundred eighty".