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18139120272 = 24327213316379
BaseRepresentation
bin10000111001001011…
…010000001010010000
31201211010221210011100
4100321023100022100
5244122103322042
612155532144400
71211334656400
oct207113201220
951733853140
1018139120272
117769073599
123622908100
131930cc0380
14c410c2800
157126d924c
hex4392d0290

18139120272 has 360 divisors, whose sum is σ = 65656631040. Its totient is φ = 4628897280.

The previous prime is 18139120271. The next prime is 18139120283. The reversal of 18139120272 is 27202193181.

18139120272 is a `hidden beast` number, since 181 + 391 + 20 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18139120271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2840379 + ... + 2846757.

Almost surely, 218139120272 is an apocalyptic number.

18139120272 is a gapful number since it is divisible by the number (12) 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 18139120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32828315520).

18139120272 is an abundant number, since it is smaller than the sum of its proper divisors (47517510768).

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

18139120272 is a wasteful number, since it uses less digits than its factorization.

18139120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 18139120272 in words is "eighteen billion, one hundred thirty-nine million, one hundred twenty thousand, two hundred seventy-two".