Search a number
-
+
4997715065 = 572193159587
BaseRepresentation
bin1001010011110001…
…10001010001111001
3110220022002020012222
410221320301101321
540213403340230
62143530213425
7234563606600
oct45170612171
913808066188
104997715065
112135097332
12b75884275
1361853b865
14355a68a37
151e3b546e5
hex129e31479

4997715065 has 96 divisors (see below), whose sum is σ = 7722086400. Its totient is φ = 3083391360.

The previous prime is 4997715017. The next prime is 4997715067. The reversal of 4997715065 is 5605177994.

4997715065 is a nontrivial binomial coefficient, being equal to C(590, 4).

It is not a de Polignac number, because 4997715065 - 26 = 4997715001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4997714998 and 4997715016.

It is not an unprimeable number, because it can be changed into a prime (4997715067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8513702 + ... + 8514288.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 24997715065 is an apocalyptic number.

4997715065 is the 57722-nd pentagonal number.

It is an amenable number.

4997715065 is a deficient number, since it is larger than the sum of its proper divisors (2724371335).

4997715065 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4997715064) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (708).

4997715065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 53.

The square root of 4997715065 is about 70694.5193420254. The cubic root of 4997715065 is about 1709.7154280621.

The spelling of 4997715065 in words is "four billion, nine hundred ninety-seven million, seven hundred fifteen thousand, sixty-five".

Divisors: 1 5 7 19 31 35 49 59 95 133 155 217 245 295 413 587 589 665 931 1085 1121 1519 1829 2065 2891 2935 2945 4109 4123 4655 5605 7595 7847 9145 11153 12803 14455 18197 20545 20615 28763 28861 34633 34751 39235 54929 55765 64015 78071 89621 90985 127379 143815 144305 173165 173755 242431 243257 274645 345743 390355 448105 546497 636895 658027 891653 1073623 1212155 1216285 1697017 1702799 1728715 2420201 2732485 3290135 4458265 4606189 5368115 7515361 8485085 8513995 12101005 16941407 20398837 23030945 32243323 37576805 52607527 84707035 101994185 142791859 161216615 263037635 713959295 999543013 4997715065