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18300836736 = 2734721317163
BaseRepresentation
bin10001000010110100…
…001001101110000000
31202020102020211110000
4101002310021232000
5244440003233421
612223550240000
71215340355100
oct210264115600
952212224400
1018300836736
117841388566
123668ab6000
1319586621a0
14c5877b200
157219d0226
hex442d09b80

18300836736 has 960 divisors, whose sum is σ = 72685000080. Its totient is φ = 4514807808.

The previous prime is 18300836717. The next prime is 18300836759. The reversal of 18300836736 is 63763800381.

It is a junction number, because it is equal to n+sod(n) for n = 18300836691 and 18300836700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112274991 + ... + 112275153.

Almost surely, 218300836736 is an apocalyptic number.

18300836736 is a gapful number since it is divisible by the number (16) 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 18300836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342500040).

18300836736 is an abundant number, since it is smaller than the sum of its proper divisors (54384163344).

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

18300836736 is a wasteful number, since it uses less digits than its factorization.

18300836736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 18300836736 in words is "eighteen billion, three hundred million, eight hundred thirty-six thousand, seven hundred thirty-six".