Search a number
-
+
19932893920 = 25519151173251
BaseRepresentation
bin10010100100000101…
…111101001011100000
31220110011020221000101
4102210011331023200
5311310310101140
613053531032144
71303645542232
oct224405751340
956404227011
1019932893920
1184a9665255
123a4359b654
131b588103b4
14d71418252
157b9e1299a
hex4a417d2e0

19932893920 has 192 divisors, whose sum is σ = 50386613760. Its totient is φ = 7430400000.

The previous prime is 19932893831. The next prime is 19932893921. The reversal of 19932893920 is 2939823991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932893921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79413795 + ... + 79414045.

It is an arithmetic number, because the mean of its divisors is an integer number (262430280).

Almost surely, 219932893920 is an apocalyptic number.

19932893920 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 19932893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25193306880).

19932893920 is an abundant number, since it is smaller than the sum of its proper divisors (30453719840).

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

19932893920 is a wasteful number, since it uses less digits than its factorization.

19932893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The spelling of 19932893920 in words is "nineteen billion, nine hundred thirty-two million, eight hundred ninety-three thousand, nine hundred twenty".