Search a number
-
+
19324132840 = 2355316575501
BaseRepresentation
bin10001111111110011…
…101101110111101000
31211212201202122210201
4101333303231313220
5304033434222330
612513303121544
71252604263465
oct217763556750
954781678721
1019324132840
118216a73021
1238b37432b4
131a8c667b3c
14d1463066c
15781763eca
hex47fcedde8

19324132840 has 64 divisors (see below), whose sum is σ = 44334455760. Its totient is φ = 7577856000.

The previous prime is 19324132823. The next prime is 19324132853. The reversal of 19324132840 is 4823142391.

It can be written as a sum of positive squares in 8 ways, for example, as 14724851716 + 4599281124 = 121346^2 + 67818^2 .

It is a super-2 number, since 2×193241328402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19324132840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3510090 + ... + 3515590.

Almost surely, 219324132840 is an apocalyptic number.

19324132840 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 19324132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167227880).

19324132840 is an abundant number, since it is smaller than the sum of its proper divisors (25010322920).

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

19324132840 is a wasteful number, since it uses less digits than its factorization.

19324132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 19324132840 in words is "nineteen billion, three hundred twenty-four million, one hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1657 2120 3314 5501 6628 8285 11002 13256 16570 22004 27505 33140 44008 55010 66280 87821 110020 175642 220040 291553 351284 439105 583106 702568 878210 1166212 1457765 1756420 2332424 2915530 3512840 5831060 9115157 11662120 18230314 36460628 45575785 72921256 91151570 182303140 364606280 483103321 966206642 1932413284 2415516605 3864826568 4831033210 9662066420 19324132840