Search a number
-
+
116248947487200 = 253952112173797
BaseRepresentation
bin11010011011101001010001…
…001110000111000111100000
3120020121021212000201000000000
4122123221101032013013200
5110214110321024042300
61051124010151300000
733325465200665253
oct3233512116070740
9506537760630000
10116248947487200
11340499a1286400
12110559a937a600
134cb32c8627ba8
14209c69c84509a
15d68d7ddadc00
hex69ba513871e0

116248947487200 has 4320 divisors, whose sum is σ = 514056977435232. Its totient is φ = 25540912742400.

The previous prime is 116248947487187. The next prime is 116248947487223. The reversal of 116248947487200 is 2784749842611.

116248947487200 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 89 + 474 + 87 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1198442757552 + ... + 1198442757648.

Almost surely, 2116248947487200 is an apocalyptic number.

116248947487200 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 116248947487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257028488717616).

116248947487200 is an abundant number, since it is smaller than the sum of its proper divisors (397808029948032).

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

116248947487200 is an equidigital number, since it uses as much as digits as its factorization.

116248947487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 116248947487200 in words is "one hundred sixteen trillion, two hundred forty-eight billion, nine hundred forty-seven million, four hundred eighty-seven thousand, two hundred".