Search a number
-
+
19924078944 = 25372113112421
BaseRepresentation
bin10010100011100100…
…010101000101100000
31220102112200002010210
4102203210111011200
5311301031011234
613053014054120
71303510606500
oct224344250540
956375602123
1019924078944
1184a4694450
123a4064a340
131b56a45033
14d701a1a00
157b9270be9
hex4a3915160

19924078944 has 288 divisors, whose sum is σ = 68516969472. Its totient is φ = 5007744000.

The previous prime is 19924078879. The next prime is 19924078973. The reversal of 19924078944 is 44987042991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1597854 + ... + 1610274.

It is an arithmetic number, because the mean of its divisors is an integer number (237906144).

Almost surely, 219924078944 is an apocalyptic number.

19924078944 is a gapful number since it is divisible by the number (14) 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 19924078944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34258484736).

19924078944 is an abundant number, since it is smaller than the sum of its proper divisors (48592890528).

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

19924078944 is a wasteful number, since it uses less digits than its factorization.

19924078944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 19924078944 in words is "nineteen billion, nine hundred twenty-four million, seventy-eight thousand, nine hundred forty-four".