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19980185472 = 2732133143037
BaseRepresentation
bin10010100110111010…
…010110111110000000
31220120110020120211100
4102212322112332000
5311404411413342
613102340414400
71305061526412
oct224672267600
956513216740
1019980185472
118523326085
123a573a7400
131b6555aa70
14d778089b2
157be154e4c
hex4a6e96f80

19980185472 has 192 divisors, whose sum is σ = 63916594560. Its totient is φ = 5949296640.

The previous prime is 19980185453. The next prime is 19980185479. The reversal of 19980185472 is 27458108991.

It is a happy number.

19980185472 is a `hidden beast` number, since 1 + 9 + 9 + 80 + 18 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×199801854722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19980185479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442738 + ... + 485774.

It is an arithmetic number, because the mean of its divisors is an integer number (332898930).

Almost surely, 219980185472 is an apocalyptic number.

19980185472 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 19980185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31958297280).

19980185472 is an abundant number, since it is smaller than the sum of its proper divisors (43936409088).

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

19980185472 is a wasteful number, since it uses less digits than its factorization.

19980185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43101 (or 43086 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 19980185472 in words is "nineteen billion, nine hundred eighty million, one hundred eighty-five thousand, four hundred seventy-two".