Search a number
-
+
117271430640 = 24365713191163
BaseRepresentation
bin110110100110111101…
…1000000010111110000
3102012200211212221000000
41231031323000113300
53410132441240030
6125512421430000
711321044466460
oct1551573002760
9365624787000
10117271430640
1145809735621
121a889b6b300
13b09bb09ba0
145966bd7ba0
1530b567a860
hex1b4dec05f0

117271430640 has 1120 divisors, whose sum is σ = 530071073280. Its totient is φ = 23420565504.

The previous prime is 117271430629. The next prime is 117271430657. The reversal of 117271430640 is 46034172711.

117271430640 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 7 + 1 + 4 + 3 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117271430595 and 117271430604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 100834699 + ... + 100835861.

It is an arithmetic number, because the mean of its divisors is an integer number (473277744).

Almost surely, 2117271430640 is an apocalyptic number.

117271430640 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 117271430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265035536640).

117271430640 is an abundant number, since it is smaller than the sum of its proper divisors (412799642640).

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

117271430640 is a wasteful number, since it uses less digits than its factorization.

117271430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 117271430640 in words is "one hundred seventeen billion, two hundred seventy-one million, four hundred thirty thousand, six hundred forty".