Search a number
-
+
5260013616 = 24311136911109
BaseRepresentation
bin1001110011000010…
…10111000000110000
3111120120122101012010
410321201113000300
541233030413431
62225540202520
7244230243444
oct47141270060
914516571163
105260013616
11225a1600a0
121029699440
1365a9990c0
1437c826824
1520bbb7846
hex139857030

5260013616 has 160 divisors (see below), whose sum is σ = 16001475840. Its totient is φ = 1467878400.

The previous prime is 5260013593. The next prime is 5260013617. The reversal of 5260013616 is 6163100625.

It is not an unprimeable number, because it can be changed into a prime (5260013617) 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 31 ways as a sum of consecutive naturals, for example, 4742470 + ... + 4743578.

It is an arithmetic number, because the mean of its divisors is an integer number (100009224).

Almost surely, 25260013616 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 5260013616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000737920).

5260013616 is an abundant number, since it is smaller than the sum of its proper divisors (10741462224).

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

5260013616 is a wasteful number, since it uses less digits than its factorization.

5260013616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5260013616 is about 72525.9513277834. The cubic root of 5260013616 is about 1739.1176236907.

The spelling of 5260013616 in words is "five billion, two hundred sixty million, thirteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 691 858 1109 1144 1382 1716 2073 2218 2288 2764 3327 3432 4146 4436 5528 6654 6864 7601 8292 8872 8983 11056 12199 13308 14417 15202 16584 17744 17966 22803 24398 26616 26949 28834 30404 33168 35932 36597 43251 45606 48796 53232 53898 57668 60808 71864 73194 86502 91212 97592 98813 107796 115336 121616 143728 146388 158587 173004 182424 195184 197626 215592 230672 292776 296439 317174 346008 364848 395252 431184 475761 585552 592878 634348 692016 766319 790504 951522 1185756 1268696 1532638 1581008 1903044 2298957 2371512 2537392 3065276 3806088 4597914 4743024 6130552 7612176 8429509 9195828 9962147 12261104 16859018 18391656 19924294 25288527 29886441 33718036 36783312 39848588 50577054 59772882 67436072 79697176 101154108 109583617 119545764 134872144 159394352 202308216 219167234 239091528 328750851 404616432 438334468 478183056 657501702 876668936 1315003404 1753337872 2630006808 5260013616