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19427189760 = 2103251138327
BaseRepresentation
bin10010000101111100…
…110110010000000000
31212010220200111022200
4102011330312100000
5304241330033020
612531424033200
71255265250126
oct220574662000
955126614280
1019427189760
11826a162230
123922162800
131aa7b0bb74
14d241b9916
1578a81e590
hex485f36400

19427189760 has 264 divisors, whose sum is σ = 73436141376. Its totient is φ = 4709498880.

The previous prime is 19427189753. The next prime is 19427189783. The reversal of 19427189760 is 6798172491.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 19427189697 and 19427189706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487717 + ... + 526043.

Almost surely, 219427189760 is an apocalyptic number.

19427189760 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 19427189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36718070688).

19427189760 is an abundant number, since it is smaller than the sum of its proper divisors (54008951616).

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

19427189760 is a wasteful number, since it uses less digits than its factorization.

19427189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38369 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 19427189760 in words is "nineteen billion, four hundred twenty-seven million, one hundred eighty-nine thousand, seven hundred sixty".