Search a number
-
+
19408793082 = 2372443149021
BaseRepresentation
bin10010000100110110…
…101010110111111010
31212002122001211211020
4102010312222313322
5304222122334312
612525525443310
71254653006400
oct220466526772
955078054736
1019408793082
11825a837568
123917b70536
131aa406a463
14d2198b470
15788dd878c
hex484daadfa

19408793082 has 48 divisors (see below), whose sum is σ = 45257385312. Its totient is φ = 5532814560.

The previous prime is 19408793039. The next prime is 19408793177. The reversal of 19408793082 is 28039780491.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55732 + ... + 204752.

It is an arithmetic number, because the mean of its divisors is an integer number (942862194).

Almost surely, 219408793082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19408793082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628692656).

19408793082 is an abundant number, since it is smaller than the sum of its proper divisors (25848592230).

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

19408793082 is a wasteful number, since it uses less digits than its factorization.

19408793082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149483 (or 149476 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 19408793082 in words is "nineteen billion, four hundred eight million, seven hundred ninety-three thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 443 886 1329 2658 3101 6202 9303 18606 21707 43414 65121 130242 149021 298042 447063 894126 1043147 2086294 3129441 6258882 7302029 14604058 21906087 43812174 66016303 132032606 198048909 396097818 462114121 924228242 1386342363 2772684726 3234798847 6469597694 9704396541 19408793082