Search a number
-
+
5016065616 = 243410138321
BaseRepresentation
bin1001010101111101…
…10001011001010000
3110221120121112110000
410222332301121100
540233103044431
62145423410000
7235205566002
oct45276613120
913846545400
105016065616
112144490381
12b7ba53900
1361c295283
14358284372
151e557b9e6
hex12afb1650

5016065616 has 100 divisors (see below), whose sum is σ = 14662073844. Its totient is φ = 1655424000.

The previous prime is 5016065609. The next prime is 5016065629. The reversal of 5016065616 is 6165606105.

It can be written as a sum of positive squares in 2 ways, for example, as 4133975616 + 882090000 = 64296^2 + 29700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111736 + ... + 150056.

Almost surely, 25016065616 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 5016065616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331036922).

5016065616 is an abundant number, since it is smaller than the sum of its proper divisors (9646008228).

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

5016065616 is a wasteful number, since it uses less digits than its factorization.

5016065616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38442 (or 38427 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5016065616 is about 70824.1880715903. The cubic root of 5016065616 is about 1711.8054430697.

The spelling of 5016065616 in words is "five billion, sixteen million, sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2424 2727 3636 4848 5454 7272 8181 10908 14544 16362 21816 32724 38321 43632 65448 76642 114963 130896 153284 229926 306568 344889 459852 613136 689778 919704 1034667 1379556 1839408 2069334 2759112 3104001 3870421 4138668 5518224 6208002 7740842 8277336 11611263 12416004 15481684 16554672 23222526 24832008 30963368 34833789 46445052 49664016 61926736 69667578 92890104 104501367 139335156 185780208 209002734 278670312 313504101 418005468 557340624 627008202 836010936 1254016404 1672021872 2508032808 5016065616