Search a number
-
+
19074710736 = 243617196183
BaseRepresentation
bin10001110000111100…
…001111110011010000
31211020100102201000000
4101300330033303100
5303031111220421
612432433130000
71243455236364
oct216074176320
954210381000
1019074710736
1180a91a4554
1238440b9900
131a4ca984b3
14ccd4652a4
157698e6226
hex470f0fcd0

19074710736 has 560 divisors, whose sum is σ = 63526559040. Its totient is φ = 5509140480.

The previous prime is 19074710729. The next prime is 19074710779. The reversal of 19074710736 is 63701747091.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19074710691 and 19074710700.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 229815751 + ... + 229815833.

It is an arithmetic number, because the mean of its divisors is an integer number (113440284).

Almost surely, 219074710736 is an apocalyptic number.

19074710736 is a gapful number since it is divisible by the number (16) 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 19074710736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763279520).

19074710736 is an abundant number, since it is smaller than the sum of its proper divisors (44451848304).

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

19074710736 is a wasteful number, since it uses less digits than its factorization.

19074710736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 19074710736 in words is "nineteen billion, seventy-four million, seven hundred ten thousand, seven hundred thirty-six".