Search a number
-
+
116748576000 = 283253728273
BaseRepresentation
bin110110010111011000…
…0011110010100000000
3102011100102001011021100
41230232300132110000
53403100113413000
6125344503054400
711302065344100
oct1545660362400
9364312034240
10116748576000
1145570589151
121a762a41400
13b0176b2244
1459175b3200
1530847eaa00
hex1b2ec1e500

116748576000 has 648 divisors, whose sum is σ = 488741506344. Its totient is φ = 26682163200.

The previous prime is 116748575987. The next prime is 116748576001. The reversal of 116748576000 is 675847611.

116748576000 is a `hidden beast` number, since 1 + 1 + 6 + 74 + 8 + 576 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 669360384 + 116079215616 = 25872^2 + 340704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116748576001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14107864 + ... + 14116136.

Almost surely, 2116748576000 is an apocalyptic number.

116748576000 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 116748576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244370753172).

116748576000 is an abundant number, since it is smaller than the sum of its proper divisors (371992930344).

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

116748576000 is an equidigital number, since it uses as much as digits as its factorization.

116748576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 116748576000 in words is "one hundred sixteen billion, seven hundred forty-eight million, five hundred seventy-six thousand".