Search a number
-
+
19295159040 = 28345186103
BaseRepresentation
bin10001111110000101…
…001100001100000000
31211210201020122020000
4101332011030030000
5304004030042130
612510350120000
71252103100663
oct217605141400
954721218200
1019295159040
118201683633
1238a5ab0000
131a86661c91
14d1084b6da
1577de3e260
hex47e14c300

19295159040 has 180 divisors, whose sum is σ = 69041978544. Its totient is φ = 5145348096.

The previous prime is 19295159027. The next prime is 19295159041. The reversal of 19295159040 is 4095159291.

19295159040 is a `hidden beast` number, since 1 + 9 + 2 + 9 + 51 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19295159041) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 10629 + ... + 196731.

Almost surely, 219295159040 is an apocalyptic number.

19295159040 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 19295159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34520989272).

19295159040 is an abundant number, since it is smaller than the sum of its proper divisors (49746819504).

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

19295159040 is an equidigital number, since it uses as much as digits as its factorization.

19295159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186136 (or 186113 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 19295159040 in words is "nineteen billion, two hundred ninety-five million, one hundred fifty-nine thousand, forty".