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19137544272 = 2433721182189
BaseRepresentation
bin10001110100101011…
…111100000001010000
31211101201122222102000
4101310223330001100
5303143202404042
612442555554000
71245150304500
oct216453740120
954351588360
1019137544272
1181307102a0
12386115b900
131a5cac80c2
14cd793da00
157701a874c
hex474afc050

19137544272 has 240 divisors, whose sum is σ = 69710270400. Its totient is φ = 4970730240.

The previous prime is 19137544259. The next prime is 19137544277. The reversal of 19137544272 is 27244573191.

19137544272 is a `hidden beast` number, since 1 + 9 + 1 + 37 + 544 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19137544277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191754 + ... + 273942.

It is an arithmetic number, because the mean of its divisors is an integer number (290459460).

Almost surely, 219137544272 is an apocalyptic number.

19137544272 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 19137544272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34855135200).

19137544272 is an abundant number, since it is smaller than the sum of its proper divisors (50572726128).

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

19137544272 is a wasteful number, since it uses less digits than its factorization.

19137544272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82231 (or 82212 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 19137544272 in words is "nineteen billion, one hundred thirty-seven million, five hundred forty-four thousand, two hundred seventy-two".