Search a number
-
+
5310666516 = 22317193074463
BaseRepresentation
bin1001111001000101…
…00101011100010100
3111201002221210220110
410330202211130110
541334012312031
62234550003020
7245413630521
oct47442453424
914632853813
105310666516
1122858073a1
121042646470
1366832272c
14385450148
15211370c46
hex13c8a5714

5310666516 has 96 divisors (see below), whose sum is σ = 13859112960. Its totient is φ = 1572908544.

The previous prime is 5310666503. The next prime is 5310666521. The reversal of 5310666516 is 6156660135.

It is a super-3 number, since 3×53106665163 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187701 + ... + 1192163.

It is an arithmetic number, because the mean of its divisors is an integer number (144365760).

Almost surely, 25310666516 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 5310666516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

5310666516 is an abundant number, since it is smaller than the sum of its proper divisors (8548446444).

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

5310666516 is a wasteful number, since it uses less digits than its factorization.

5310666516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 5310666516 is about 72874.3200036885. The cubic root of 5310666516 is about 1744.6822535657.

The spelling of 5310666516 in words is "five billion, three hundred ten million, six hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 307 323 614 646 921 969 1228 1292 1842 1938 3684 3876 4463 5219 5833 8926 10438 11666 13389 15657 17499 17852 20876 23332 26778 31314 34998 53556 62628 69996 75871 84797 99161 151742 169594 198322 227613 254391 297483 303484 339188 396644 455226 508782 594966 910452 1017564 1189932 1370141 1441549 2740282 2883098 4110423 4324647 5480564 5766196 8220846 8649294 16441692 17298588 23292397 26032679 46584794 52065358 69877191 78098037 93169588 104130716 139754382 156196074 279508764 312392148 442555543 885111086 1327666629 1770222172 2655333258 5310666516