Search a number
-
+
19390000080 = 243511171922739
BaseRepresentation
bin10010000011101110…
…111110101111010000
31212001022201001200010
4102003232332233100
5304202320000310
612524014554520
71254334165323
oct220356765720
955038631603
1019390000080
118250171060
123911808a40
131aa01ba539
14d1d2987ba
15787425320
hex483bbebd0

19390000080 has 320 divisors, whose sum is σ = 73088179200. Its totient is φ = 4191068160.

The previous prime is 19390000067. The next prime is 19390000087. The reversal of 19390000080 is 8000009391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19390000087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841351 + ... + 864089.

It is an arithmetic number, because the mean of its divisors is an integer number (228400560).

Almost surely, 219390000080 is an apocalyptic number.

19390000080 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 19390000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36544089600).

19390000080 is an abundant number, since it is smaller than the sum of its proper divisors (53698179120).

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

19390000080 is a wasteful number, since it uses less digits than its factorization.

19390000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22802 (or 22796 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 19390000080 in words is "nineteen billion, three hundred ninety million, eighty", and thus it is an aban number.