Search a number
-
+
3160363489920 = 2732572132591123
BaseRepresentation
bin101101111111010100010…
…101111101101010000000
3102012010110011110121212200
4231333110111331222000
5403234411023134140
610415503445353200
7444220516300500
oct55772425755200
912163404417780
103160363489920
11100933688822a
124305bb408800
1319c037196c00
14acd68bc9a00
155731d082030
hex2dfd457da80

3160363489920 has 1728 divisors, whose sum is σ = 13991951469600. Its totient is φ = 654916534272.

The previous prime is 3160363489841. The next prime is 3160363489949. The reversal of 3160363489920 is 299843630613.

3160363489920 is a `hidden beast` number, since 3 + 1 + 603 + 6 + 3 + 4 + 8 + 9 + 9 + 20 = 666.

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 215 ways as a sum of consecutive naturals, for example, 2814214479 + ... + 2814215601.

Almost surely, 23160363489920 is an apocalyptic number.

3160363489920 is a gapful number since it is divisible by the number (30) 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 3160363489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995975734800).

3160363489920 is an abundant number, since it is smaller than the sum of its proper divisors (10831587979680).

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

3160363489920 is a wasteful number, since it uses less digits than its factorization.

3160363489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3160363489920 in words is "three trillion, one hundred sixty billion, three hundred sixty-three million, four hundred eighty-nine thousand, nine hundred twenty".