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18014085360 = 24325172935023
BaseRepresentation
bin10000110001101110…
…010010000011110000
31201111102200100111200
4100301232102003300
5243343101212420
612135304211200
71205256125205
oct206156220360
951442610450
1018014085360
117704532a57
1235a8a69b00
13191112280b
14c2c655cac
1570673bb90
hex431b920f0

18014085360 has 240 divisors, whose sum is σ = 64287385344. Its totient is φ = 4504854528.

The previous prime is 18014085319. The next prime is 18014085367. The reversal of 18014085360 is 6358041081.

18014085360 is a `hidden beast` number, since 1 + 80 + 1 + 40 + 8 + 536 + 0 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18014085367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3583809 + ... + 3588831.

Almost surely, 218014085360 is an apocalyptic number.

18014085360 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 18014085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32143692672).

18014085360 is an abundant number, since it is smaller than the sum of its proper divisors (46273299984).

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

18014085360 is a wasteful number, since it uses less digits than its factorization.

18014085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18014085360 in words is "eighteen billion, fourteen million, eighty-five thousand, three hundred sixty".