Search a number
-
+
116658294804 = 2232792519229
BaseRepresentation
bin110110010100101100…
…0000101000000010100
3102011010010011101202100
41230221120011000110
53402404010413204
6125331520042100
711266621100442
oct1545130050024
9364103141670
10116658294804
1145524625597
121a738763330
13b001a9230c
1459095d1b92
15307b915a39
hex1b29605014

116658294804 has 54 divisors (see below), whose sum is σ = 298666807530. Its totient is φ = 38393795232.

The previous prime is 116658294803. The next prime is 116658294821. The reversal of 116658294804 is 408492856611.

116658294804 is a `hidden beast` number, since 1 + 16 + 6 + 582 + 9 + 48 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113259171600 + 3399123204 = 336540^2 + 58302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116658294803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34939 + ... + 484290.

Almost surely, 2116658294804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116658294804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149333403765).

116658294804 is an abundant number, since it is smaller than the sum of its proper divisors (182008512726).

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

116658294804 is a wasteful number, since it uses less digits than its factorization.

116658294804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519397 (or 519313 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 116658294804 in words is "one hundred sixteen billion, six hundred fifty-eight million, two hundred ninety-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 6241 12482 18723 24964 37446 56169 74892 112338 224676 519229 1038458 1557687 2076916 3115374 4673061 6230748 9346122 18692244 41019091 82038182 123057273 164076364 246114546 369171819 492229092 738343638 1476687276 3240508189 6481016378 9721524567 12962032756 19443049134 29164573701 38886098268 58329147402 116658294804