Search a number
-
+
9470113873920 = 2173257331151
BaseRepresentation
bin1000100111001110111011…
…0001100000000000000000
31020112100000112000000212100
42021303232301200000000
52220124243122431140
632050302114230400
71665123151524000
oct211635661400000
936470015000770
109470113873920
11302128643a777
12108b455b85400
1353904940609b
1424a4daa64000
151165156cb530
hex89ceec60000

9470113873920 has 1728 divisors, whose sum is σ = 39781982822400. Its totient is φ = 2080899072000.

The previous prime is 9470113873919. The next prime is 9470113874009. The reversal of 9470113873920 is 293783110749.

9470113873920 is a `hidden beast` number, since 9 + 470 + 1 + 1 + 3 + 87 + 3 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62715985845 + ... + 62715985995.

It is an arithmetic number, because the mean of its divisors is an integer number (23021980800).

Almost surely, 29470113873920 is an apocalyptic number.

9470113873920 is a gapful number since it is divisible by the number (90) 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 9470113873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890991411200).

9470113873920 is an abundant number, since it is smaller than the sum of its proper divisors (30311868948480).

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

9470113873920 is an equidigital number, since it uses as much as digits as its factorization.

9470113873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 9470113873920 in words is "nine trillion, four hundred seventy billion, one hundred thirteen million, eight hundred seventy-three thousand, nine hundred twenty".