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18385044480 = 21032511192383
BaseRepresentation
bin10001000111110101…
…011000010000000000
31202110021201000202100
4101013311120100000
5300123032410410
612240155150400
71220412204525
oct210765302000
952407630670
1018385044480
117884973040
123691145400
13196cc3685a
14c65a1b14c
157290b58c0
hex447d58400

18385044480 has 1056 divisors, whose sum is σ = 77252797440. Its totient is φ = 3990159360.

The previous prime is 18385044449. The next prime is 18385044493. The reversal of 18385044480 is 8444058381.

18385044480 is a `hidden beast` number, since 1 + 83 + 8 + 50 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 221506519 + ... + 221506601.

Almost surely, 218385044480 is an apocalyptic number.

18385044480 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 18385044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38626398720).

18385044480 is an abundant number, since it is smaller than the sum of its proper divisors (58867752960).

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

18385044480 is a wasteful number, since it uses less digits than its factorization.

18385044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 18385044480 in words is "eighteen billion, three hundred eighty-five million, forty-four thousand, four hundred eighty".