Search a number
-
+
5242166550114 = 23131737365316231
BaseRepresentation
bin100110001001000100101…
…1110011001111001100010
3200120010221121012111102220
41030102021132121321202
51141341424114100424
615052115034051510
71050506526321444
oct114221136317142
920503847174386
105242166550114
11174121039998a
12707b72b79b96
132c0446284cc0
14141a17a86494
159156298d579
hex4c489799e62

5242166550114 has 128 divisors (see below), whose sum is σ = 12006133590528. Its totient is φ = 1511611822080.

The previous prime is 5242166550091. The next prime is 5242166550161. The reversal of 5242166550114 is 4110556612425.

It is a happy number.

It is a super-3 number, since 3×52421665501143 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322964379 + ... + 322980609.

It is an arithmetic number, because the mean of its divisors is an integer number (93797918676).

Almost surely, 25242166550114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5242166550114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003066795264).

5242166550114 is an abundant number, since it is smaller than the sum of its proper divisors (6763967040414).

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

5242166550114 is a wasteful number, since it uses less digits than its factorization.

5242166550114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17292.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 5242166550114 in words is "five trillion, two hundred forty-two billion, one hundred sixty-six million, five hundred fifty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 373 442 653 663 746 1119 1306 1326 1959 2238 3918 4849 6341 8489 9698 11101 12682 14547 16231 16978 19023 22202 25467 29094 32462 33303 38046 48693 50934 66606 82433 97386 144313 164866 211003 243569 247299 275927 288626 422006 432939 487138 494598 551854 633009 730707 827781 865878 1266018 1461414 1655562 3166397 3587051 4140673 6054163 6332794 7174102 8281346 9499191 10598843 10761153 12108326 12422019 18162489 18998382 21197686 21522306 24844038 31796529 36324978 53828749 63593058 78704119 102920771 107657498 137784959 157408238 161486247 180180331 205841542 236112357 275569918 308762313 322972494 360360662 413354877 472224714 540540993 617524626 826709754 1081081986 1337970023 2342344303 2675940046 3953368439 4013910069 4684688606 7027032909 7906736878 8027820138 11860105317 14054065818 23720210634 51393789707 67207263463 102787579414 134414526926 154181369121 201621790389 308362738242 403243580778 873694425019 1747388850038 2621083275057 5242166550114