Search a number
-
+
117146008980 = 22325711131921801
BaseRepresentation
bin110110100011001110…
…0100011110110010100
3102012101002212211211100
41231012130203312110
53404403334241410
6125452141310100
711314662434610
oct1550634436624
9365332784740
10117146008980
1145754960460
121a853b65330
13b07bb352a0
1459542aa340
1530a96538c0
hex1b46723d94

117146008980 has 864 divisors, whose sum is σ = 503815673088. Its totient is φ = 21275136000.

The previous prime is 117146008963. The next prime is 117146008981. The reversal of 117146008980 is 89800641711.

It is a happy number.

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 (117146008981) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 65044080 + ... + 65045880.

It is an arithmetic number, because the mean of its divisors is an integer number (583119992).

Almost surely, 2117146008980 is an apocalyptic number.

117146008980 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 117146008980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251907836544).

117146008980 is an abundant number, since it is smaller than the sum of its proper divisors (386669664108).

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

117146008980 is a wasteful number, since it uses less digits than its factorization.

117146008980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 117146008980 in words is "one hundred seventeen billion, one hundred forty-six million, eight thousand, nine hundred eighty".