Search a number
-
+
117913788661760 = 2145721347131367
BaseRepresentation
bin11010110011110111110001…
…011111001100000000000000
3120110111110002200002102201222
4122303313301133030000000
5110423344414344134020
61054440502515414212
733556663414326500
oct3263676137140000
9513443080072658
10117913788661760
1134630a58769a63
12112845952b4368
1350a42b7c6aa30
1421190b4941a00
15d9731cc27b25
hex6b3df17cc000

117913788661760 has 1440 divisors, whose sum is σ = 365808514756608. Its totient is φ = 36146207784960.

The previous prime is 117913788661693. The next prime is 117913788661771. The reversal of 117913788661760 is 67166887319711.

It is a super-2 number, since 2×1179137886617602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321290977097 + ... + 321290977463.

Almost surely, 2117913788661760 is an apocalyptic number.

117913788661760 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 117913788661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182904257378304).

117913788661760 is an abundant number, since it is smaller than the sum of its proper divisors (247894726094848).

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

117913788661760 is a wasteful number, since it uses less digits than its factorization.

117913788661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 71.

The spelling of 117913788661760 in words is "one hundred seventeen trillion, nine hundred thirteen billion, seven hundred eighty-eight million, six hundred sixty-one thousand, seven hundred sixty".