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18738720000 = 283254711132
BaseRepresentation
bin10001011100111010…
…100010110100000000
31210100221012121100200
4101130322202310000
5301334103020000
612335231445200
71232235330510
oct213472426400
953327177320
1018738720000
117a46578760
12376b686800
1319c82a8a00
14c9a9a3840
1574a178500
hex45cea2d00

18738720000 has 1620 divisors, whose sum is σ = 91145998944. Its totient is φ = 3594240000.

The previous prime is 18738719977. The next prime is 18738720017. The reversal of 18738720000 is 2783781.

It is a super-2 number, since 2×187387200002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1441439994 + ... + 1441440006.

Almost surely, 218738720000 is an apocalyptic number.

18738720000 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 18738720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45572999472).

18738720000 is an abundant number, since it is smaller than the sum of its proper divisors (72407278944).

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

18738720000 is a wasteful number, since it uses less digits than its factorization.

18738720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 18738720000 in words is "eighteen billion, seven hundred thirty-eight million, seven hundred twenty thousand".