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18427144320 = 2732513435997
BaseRepresentation
bin10001001010010101…
…111110100010000000
31202120012220220212200
4101022111332202000
5300214322104240
612244301353200
71221433066554
oct211225764200
952505826780
1018427144320
1178a67082a2
1236a3268800
1319788870c0
14c6b459864
1572cb2e930
hex44a57e880

18427144320 has 768 divisors, whose sum is σ = 72043171200. Its totient is φ = 4310433792.

The previous prime is 18427144303. The next prime is 18427144327. The reversal of 18427144320 is 2344172481.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18427144327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189970512 + ... + 189970608.

Almost surely, 218427144320 is an apocalyptic number.

18427144320 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 18427144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36021585600).

18427144320 is an abundant number, since it is smaller than the sum of its proper divisors (53616026880).

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

18427144320 is a wasteful number, since it uses less digits than its factorization.

18427144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18427144320 in words is "eighteen billion, four hundred twenty-seven million, one hundred forty-four thousand, three hundred twenty".