Search a number
-
+
117955110546 = 233721323167127
BaseRepresentation
bin110110111011010101…
…1000010011010010010
3102021110111100110112000
41231312223002122102
53413033002014141
6130104323214430
711344015616400
oct1556653023222
9367414313460
10117955110546
114602a648439
121aa3ab17416
13b17a653b00
1459cd924470
1531056c75b6
hex1b76ac2692

117955110546 has 576 divisors, whose sum is σ = 348639068160. Its totient is φ = 29422673280.

The previous prime is 117955110473. The next prime is 117955110629. The reversal of 117955110546 is 645011559711.

117955110546 is a `hidden beast` number, since 1 + 1 + 7 + 95 + 5 + 1 + 10 + 546 = 666.

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 287 ways as a sum of consecutive naturals, for example, 928780335 + ... + 928780461.

It is an arithmetic number, because the mean of its divisors is an integer number (605276160).

Almost surely, 2117955110546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117955110546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174319534080).

117955110546 is an abundant number, since it is smaller than the sum of its proper divisors (230683957614).

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

117955110546 is a wasteful number, since it uses less digits than its factorization.

117955110546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 117955110546 in words is "one hundred seventeen billion, nine hundred fifty-five million, one hundred ten thousand, five hundred forty-six".