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18752000904 = 2335721319797
BaseRepresentation
bin10001011101101101…
…001101001110001000
31210101212012100100000
4101131231031032020
5301401003012104
612340424243000
71232456243400
oct213555151610
953355170300
1018752000904
117a5301990a
123774010460
1319cac78a30
14c9c65d800
1574b3ed639
hex45db4d388

18752000904 has 576 divisors, whose sum is σ = 69538996800. Its totient is φ = 4679410176.

The previous prime is 18752000893. The next prime is 18752000929. The reversal of 18752000904 is 40900025781.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23527834 + ... + 23528630.

It is an arithmetic number, because the mean of its divisors is an integer number (120727425).

Almost surely, 218752000904 is an apocalyptic number.

18752000904 is a gapful number since it is divisible by the number (14) 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 18752000904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34769498400).

18752000904 is an abundant number, since it is smaller than the sum of its proper divisors (50786995896).

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

18752000904 is a wasteful number, since it uses less digits than its factorization.

18752000904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 18752000904 in words is "eighteen billion, seven hundred fifty-two million, nine hundred four", and thus it is an aban number.