Search a number
-
+
5310665316 = 22331122317669
BaseRepresentation
bin1001111001000101…
…00101001001100100
3111201002221202021000
410330202211021210
541334012242231
62234545553300
7245413624155
oct47442451144
914632852230
105310665316
112285806500
121042645830
13668322018
1438544d92c
152113706e6
hex13c8a5264

5310665316 has 144 divisors (see below), whose sum is σ = 15792739200. Its totient is φ = 1539236160.

The previous prime is 5310665291. The next prime is 5310665341. The reversal of 5310665316 is 6135660135.

5310665316 is a `hidden beast` number, since 53 + 10 + 66 + 531 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5310665291) and next prime (5310665341).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291730 + ... + 309398.

It is an arithmetic number, because the mean of its divisors is an integer number (109671800).

Almost surely, 25310665316 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 5310665316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896369600).

5310665316 is an abundant number, since it is smaller than the sum of its proper divisors (10482073884).

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

5310665316 is a wasteful number, since it uses less digits than its factorization.

5310665316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17727 (or 17708 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5310665316 is about 72874.3117703351. The cubic root of 5310665316 is about 1744.6821221560.

The spelling of 5310665316 in words is "five billion, three hundred ten million, six hundred sixty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 121 132 138 198 207 242 253 276 297 363 396 414 484 506 594 621 726 759 828 1012 1089 1188 1242 1452 1518 2178 2277 2484 2783 3036 3267 4356 4554 5566 6534 6831 8349 9108 11132 13068 13662 16698 17669 25047 27324 33396 35338 50094 53007 70676 75141 100188 106014 150282 159021 194359 212028 300564 318042 388718 406387 477063 583077 636084 777436 812774 954126 1166154 1219161 1625548 1749231 1908252 2137949 2332308 2438322 3498462 3657483 4275898 4470257 4876644 5247693 6413847 6996924 7314966 8551796 8940514 10495386 10972449 12827694 13410771 14629932 17881028 19241541 20990772 21944898 25655388 26821542 38483082 40232313 43889796 49172827 53643084 57724623 76966164 80464626 98345654 115449246 120696939 147518481 160929252 196691308 230898492 241393878 295036962 442555443 482787756 590073924 885110886 1327666329 1770221772 2655332658 5310665316