Search a number
-
+
19048423680 = 28325111331373
BaseRepresentation
bin10001101111010111…
…111110000100000000
31211011111222011221100
4101233113332010000
5303002344024210
612430053454400
71243015633626
oct215727760400
954144864840
1019048423680
11809537a710
123837341400
131a474c3520
14cc9b81516
157674525c0
hex46f5fe100

19048423680 has 864 divisors, whose sum is σ = 80139451392. Its totient is φ = 4114022400.

The previous prime is 19048423679. The next prime is 19048423699. The reversal of 19048423680 is 8632484091.

It is a happy number.

19048423680 is a `hidden beast` number, since 1 + 90 + 484 + 2 + 3 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51067974 + ... + 51068346.

Almost surely, 219048423680 is an apocalyptic number.

19048423680 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 19048423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40069725696).

19048423680 is an abundant number, since it is smaller than the sum of its proper divisors (61091027712).

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

19048423680 is a wasteful number, since it uses less digits than its factorization.

19048423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 19048423680 in words is "nineteen billion, forty-eight million, four hundred twenty-three thousand, six hundred eighty".