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18694800000 = 273455577
BaseRepresentation
bin10001011010010011…
…000000001010000000
31210020212120020110000
4101122103000022000
5301241332100000
612331022240000
71231163115042
oct213223001200
953225506400
1018694800000
117a237aaa38
123758a26000
1319bc16bb46
14c94c0da92
157463a0000
hex45a4c0280

18694800000 has 480 divisors, whose sum is σ = 69660346140. Its totient is φ = 4976640000.

The previous prime is 18694799957. The next prime is 18694800011. The reversal of 18694800000 is 849681.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 18694545984 = 504^2 + 136728^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399712 + ... + 32400288.

Almost surely, 218694800000 is an apocalyptic number.

18694800000 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 18694800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34830173070).

18694800000 is an abundant number, since it is smaller than the sum of its proper divisors (50965546140).

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

18694800000 is an frugal number, since it uses more digits than its factorization.

18694800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18694800000 in words is "eighteen billion, six hundred ninety-four million, eight hundred thousand".