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18997272000 = 263253737693
BaseRepresentation
bin10001101100010100…
…110101110111000000
31211000221201102000200
4101230110311313000
5302401300201000
612421025245200
71241525101440
oct215424656700
954027642020
1018997272000
1180695126a3
123822193800
131a39a23b65
14cc3068120
15762beb500
hex46c535dc0

18997272000 has 336 divisors, whose sum is σ = 77666526912. Its totient is φ = 4342118400.

The previous prime is 18997271959. The next prime is 18997272023. The reversal of 18997272000 is 27279981.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485154 + ... + 522846.

Almost surely, 218997272000 is an apocalyptic number.

18997272000 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 18997272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38833263456).

18997272000 is an abundant number, since it is smaller than the sum of its proper divisors (58669254912).

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

18997272000 is a wasteful number, since it uses less digits than its factorization.

18997272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37733 (or 37710 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 18997272000 in words is "eighteen billion, nine hundred ninety-seven million, two hundred seventy-two thousand".