Search a number
-
+
114757472760 = 23357231629567
BaseRepresentation
bin110101011100000010…
…1000001000111111000
3101222012122102122002220
41222320011001013320
53340010403112020
6124415134524040
711201540265300
oct1527005010770
9358178378086
10114757472760
1144739668887
121a2a8066620
13aa8b031548
1457a8d92600
152eb9ae4240
hex1ab81411f8

114757472760 has 192 divisors, whose sum is σ = 413399531520. Its totient is φ = 25384101120.

The previous prime is 114757472719. The next prime is 114757472777. The reversal of 114757472760 is 67274757411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132504 + ... + 497063.

It is an arithmetic number, because the mean of its divisors is an integer number (2153122560).

Almost surely, 2114757472760 is an apocalyptic number.

114757472760 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 114757472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206699765760).

114757472760 is an abundant number, since it is smaller than the sum of its proper divisors (298642058760).

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

114757472760 is a wasteful number, since it uses less digits than its factorization.

114757472760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629626 (or 629615 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 114757472760 in words is "one hundred fourteen billion, seven hundred fifty-seven million, four hundred seventy-two thousand, seven hundred sixty".