Search a number
-
+
116466742080 = 2633513231283
BaseRepresentation
bin110110001110111110…
…1010111001101000000
3102010121202201111211000
41230131331113031000
53402010441221310
6125300514252000
711262103654623
oct1543575271500
9363552644730
10116466742080
1145436492157
121a6a4587000
13aca11a4c00
1458cbdabdba
153069bc94c0
hex1b1df57340

116466742080 has 1008 divisors, whose sum is σ = 465258790080. Its totient is φ = 27409674240.

The previous prime is 116466741983. The next prime is 116466742097. The reversal of 116466742080 is 80247664611.

116466742080 is a `hidden beast` number, since 1 + 164 + 6 + 67 + 420 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1403213719 + ... + 1403213801.

It is an arithmetic number, because the mean of its divisors is an integer number (461566260).

Almost surely, 2116466742080 is an apocalyptic number.

116466742080 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 116466742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232629395040).

116466742080 is an abundant number, since it is smaller than the sum of its proper divisors (348792048000).

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

116466742080 is a wasteful number, since it uses less digits than its factorization.

116466742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 116466742080 in words is "one hundred sixteen billion, four hundred sixty-six million, seven hundred forty-two thousand, eighty".