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5368595958 = 232111910713337
BaseRepresentation
bin1001111111111111…
…00100010111110110
3111212010221221011100
410333333210113312
541443330032313
62244415350530
7250016212155
oct47777442766
914763857140
105368595958
112305483670
121059b22446
136773260cb
1438d00d59c
152164b5173
hex13ffe45f6

5368595958 has 96 divisors (see below), whose sum is σ = 13483117440. Its totient is φ = 1526705280.

The previous prime is 5368595941. The next prime is 5368596007. The reversal of 5368595958 is 8595958635.

5368595958 is a `hidden beast` number, since 5 + 36 + 8 + 5 + 9 + 595 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5368595895 and 5368595904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395866 + ... + 409202.

It is an arithmetic number, because the mean of its divisors is an integer number (140449140).

Almost surely, 25368595958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5368595958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741558720).

5368595958 is an abundant number, since it is smaller than the sum of its proper divisors (8114521482).

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

5368595958 is a wasteful number, since it uses less digits than its factorization.

5368595958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13482 (or 13479 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 63.

The square root of 5368595958 is about 73270.7032721810. The cubic root of 5368595958 is about 1751.0030666386.

The spelling of 5368595958 in words is "five billion, three hundred sixty-eight million, five hundred ninety-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 107 114 171 198 209 214 321 342 418 627 642 963 1177 1254 1881 1926 2033 2354 3531 3762 4066 6099 7062 10593 12198 13337 18297 21186 22363 26674 36594 40011 44726 67089 80022 120033 134178 146707 201267 240066 253403 293414 402534 440121 506806 760209 880242 1320363 1427059 1520418 2280627 2640726 2787433 2854118 4281177 4561254 5574866 8362299 8562354 12843531 15697649 16724598 25086897 25687062 27114121 31395298 47092947 50173794 54228242 81342363 94185894 141278841 162684726 244027089 282557682 298255331 488054178 596510662 894765993 1789531986 2684297979 5368595958