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5163915768 = 2331131718887
BaseRepresentation
bin1001100111100101…
…10001100111111000
3111022212211002201120
410303302301213320
541033430301033
62212224345240
7241652363004
oct46362614770
914285732646
105163915768
11220a994390
121001475220
13643ac077b
1436db6d704
152035341b3
hex133cb19f8

5163915768 has 128 divisors (see below), whose sum is σ = 14744125440. Its totient is φ = 1492848000.

The previous prime is 5163915763. The next prime is 5163915773. The reversal of 5163915768 is 8675193615.

It is an interprime number because it is at equal distance from previous prime (5163915763) and next prime (5163915773).

It is a super-3 number, since 3×51639157683 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5163915768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163915761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576621 + ... + 585507.

It is an arithmetic number, because the mean of its divisors is an integer number (115188480).

Almost surely, 25163915768 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 5163915768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372062720).

5163915768 is an abundant number, since it is smaller than the sum of its proper divisors (9580209672).

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

5163915768 is a wasteful number, since it uses less digits than its factorization.

5163915768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009 (or 9005 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 5163915768 is about 71860.3908144118. The cubic root of 5163915768 is about 1728.4615242062.

The spelling of 5163915768 in words is "five billion, one hundred sixty-three million, nine hundred fifteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 264 284 341 372 426 568 682 744 781 852 1023 1364 1562 1704 2046 2201 2343 2728 3124 4092 4402 4686 6248 6603 8184 8804 8887 9372 13206 17608 17774 18744 24211 26412 26661 35548 48422 52824 53322 71096 72633 96844 97757 106644 145266 193688 195514 213288 275497 290532 293271 391028 550994 581064 586542 630977 782056 826491 1101988 1173084 1261954 1652982 1892931 2203976 2346168 2523908 3030467 3305964 3785862 5047816 6060934 6611928 6940747 7571724 9091401 12121868 13881494 15143448 18182802 19560287 20822241 24243736 27762988 36365604 39120574 41644482 55525976 58680861 72731208 78241148 83288964 117361722 156482296 166577928 215163157 234723444 430326314 469446888 645489471 860652628 1290978942 1721305256 2581957884 5163915768