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18505435320 = 23325196614093
BaseRepresentation
bin10001001111000000…
…101000100010111000
31202202200020111221100
4101033000220202320
5300344342412240
612300135411400
71223403414321
oct211700504270
952680214840
1018505435320
1179369214a9
123705523b60
13198bb69638
14c779d9448
15734946e30
hex44f0288b8

18505435320 has 192 divisors, whose sum is σ = 63419335200. Its totient is φ = 4666844160.

The previous prime is 18505435283. The next prime is 18505435367. The reversal of 18505435320 is 2353450581.

18505435320 is a `hidden beast` number, since 1 + 85 + 0 + 5 + 43 + 532 + 0 = 666.

It is a super-2 number, since 2×185054353202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4519194 + ... + 4523286.

Almost surely, 218505435320 is an apocalyptic number.

18505435320 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 18505435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709667600).

18505435320 is an abundant number, since it is smaller than the sum of its proper divisors (44913899880).

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

18505435320 is a wasteful number, since it uses less digits than its factorization.

18505435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 18505435320 in words is "eighteen billion, five hundred five million, four hundred thirty-five thousand, three hundred twenty".