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18918370240 = 2657111315861
BaseRepresentation
bin10001100111100111…
…110110101111000000
31210211110020210011021
4101213213312233000
5302221100321430
612405130155224
71236546331240
oct214747665700
953743223137
1018918370240
118028a21630
1237bb882b14
131a26589623
14cb67a9b20
1575ad1307a
hex4679f6bc0

18918370240 has 224 divisors, whose sum is σ = 56603847168. Its totient is φ = 5850624000.

The previous prime is 18918370231. The next prime is 18918370259. The reversal of 18918370240 is 4207381981.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224910 + ... + 3230770.

Almost surely, 218918370240 is an apocalyptic number.

18918370240 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 18918370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28301923584).

18918370240 is an abundant number, since it is smaller than the sum of its proper divisors (37685476928).

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

18918370240 is a wasteful number, since it uses less digits than its factorization.

18918370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 18918370240 in words is "eighteen billion, nine hundred eighteen million, three hundred seventy thousand, two hundred forty".