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18948089600 = 285211299281
BaseRepresentation
bin10001101001011001…
…001110011100000000
31210220112011200110022
4101221121032130000
5302301202331400
612412111153012
71240360050506
oct215131163400
953815150408
1018948089600
118043780190
123809815768
131a2c79394b
14cba704676
1575d733b85
hex46964e700

18948089600 has 216 divisors, whose sum is σ = 52933018320. Its totient is φ = 6651904000.

The previous prime is 18948089597. The next prime is 18948089627. The reversal of 18948089600 is 698084981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036960 + ... + 2046240.

It is an arithmetic number, because the mean of its divisors is an integer number (245060270).

Almost surely, 218948089600 is an apocalyptic number.

18948089600 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 18948089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26466509160).

18948089600 is an abundant number, since it is smaller than the sum of its proper divisors (33984928720).

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

18948089600 is a wasteful number, since it uses less digits than its factorization.

18948089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 53.

The spelling of 18948089600 in words is "eighteen billion, nine hundred forty-eight million, eighty-nine thousand, six hundred".