Search a number
-
+
5360912864 = 252389223367
BaseRepresentation
bin1001111111000100…
…10000100111100000
3111211121111120221022
410333202100213200
541434343202424
62243542545012
7246564002366
oct47742204740
914747446838
105360912864
1123011061aa
121057438168
13675865cb8
1438bdad636
1521599895e
hex13f8909e0

5360912864 has 96 divisors (see below), whose sum is σ = 11217346560. Its totient is φ = 2516861952.

The previous prime is 5360912819. The next prime is 5360912873. The reversal of 5360912864 is 4682190635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14607209 + ... + 14607575.

It is an arithmetic number, because the mean of its divisors is an integer number (116847360).

Almost surely, 25360912864 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 5360912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608673280).

5360912864 is an abundant number, since it is smaller than the sum of its proper divisors (5856433696).

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

5360912864 is a wasteful number, since it uses less digits than its factorization.

5360912864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 5360912864 is about 73218.2549914979. The cubic root of 5360912864 is about 1750.1673705499.

The spelling of 5360912864 in words is "five billion, three hundred sixty million, nine hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 223 356 367 368 446 712 734 736 892 1424 1468 1784 2047 2848 2936 3568 4094 5129 5872 7136 8188 8441 10258 11744 16376 16882 19847 20516 32663 32752 33764 39694 41032 65326 65504 67528 79388 81841 82064 130652 135056 158776 163682 164128 261304 270112 317552 327364 456481 522608 635104 654728 751249 912962 1045216 1309456 1502498 1825924 1882343 2618912 3004996 3651848 3764686 6009992 7283849 7303696 7529372 12019984 14567698 14607392 15058744 24039968 29135396 30117488 58270792 60234976 116541584 167528527 233083168 335057054 670114108 1340228216 2680456432 5360912864