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18693089280 = 21134531727
BaseRepresentation
bin10001011010001100…
…011110100000000000
31210020202100022210000
4101122030132200000
5301240412324110
612330521440000
71231142431365
oct213214364000
953222308700
1018693089280
117a22841718
123758340000
1319bb9c0298
14c948c646c
157461631c0
hex45a31e800

18693089280 has 480 divisors, whose sum is σ = 69258309120. Its totient is φ = 4817387520.

The previous prime is 18693089251. The next prime is 18693089293. The reversal of 18693089280 is 8298039681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25712277 + ... + 25713003.

It is an arithmetic number, because the mean of its divisors is an integer number (144288144).

Almost surely, 218693089280 is an apocalyptic number.

18693089280 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 18693089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34629154560).

18693089280 is an abundant number, since it is smaller than the sum of its proper divisors (50565219840).

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

18693089280 is an equidigital number, since it uses as much as digits as its factorization.

18693089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 18693089280 in words is "eighteen billion, six hundred ninety-three million, eighty-nine thousand, two hundred eighty".