Search a number
-
+
116064624480 = 25357137252139
BaseRepresentation
bin110110000010111111…
…1011001111101100000
3102002120202001211011120
41230011333121331200
53400200020440410
6125152551412240
711246122013250
oct1540577317540
9362522054146
10116064624480
114524a500262
121a5b1984080
13ac38aa17bc
145890815960
153044748570
hex1b05fd9f60

116064624480 has 192 divisors, whose sum is σ = 420884190720. Its totient is φ = 26335309824.

The previous prime is 116064624461. The next prime is 116064624509. The reversal of 116064624480 is 84426460611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334251 + ... + 586389.

It is an arithmetic number, because the mean of its divisors is an integer number (2192105160).

Almost surely, 2116064624480 is an apocalyptic number.

116064624480 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 116064624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210442095360).

116064624480 is an abundant number, since it is smaller than the sum of its proper divisors (304819566240).

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

116064624480 is a wasteful number, since it uses less digits than its factorization.

116064624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252301 (or 252293 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 116064624480 in words is "one hundred sixteen billion, sixty-four million, six hundred twenty-four thousand, four hundred eighty".