Search a number
-
+
28096966716 = 223721317216217
BaseRepresentation
bin11010001010101101…
…011011000000111100
32200112010101210110220
4122022231123000330
5430020310413331
620524011301340
72013161163600
oct321255330074
980463353426
1028096966716
1110a09006a55
12554174a850
13285a03b9c0
1415077d1500
15ae6a1c296
hex68ab5b03c

28096966716 has 144 divisors (see below), whose sum is σ = 86961149856. Its totient is φ = 6974263296.

The previous prime is 28096966663. The next prime is 28096966717. The reversal of 28096966716 is 61766969082.

It is a self number, because there is not a number n which added to its sum of digits gives 28096966716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28096966717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21840 + ... + 238056.

It is an arithmetic number, because the mean of its divisors is an integer number (603896874).

Almost surely, 228096966716 is an apocalyptic number.

28096966716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28096966716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43480574928).

28096966716 is an abundant number, since it is smaller than the sum of its proper divisors (58864183140).

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

28096966716 is a wasteful number, since it uses less digits than its factorization.

28096966716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216268 (or 216259 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 28096966716 in words is "twenty-eight billion, ninety-six million, nine hundred sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 833 884 1092 1274 1326 1428 1547 1666 1911 2499 2548 2652 3094 3332 3822 4641 4998 6188 7644 9282 9996 10829 18564 21658 32487 43316 64974 129948 216217 432434 648651 864868 1297302 1513519 2594604 2810821 3027038 3675689 4540557 5621642 6054076 7351378 8432463 9081114 10594633 11027067 11243284 14702756 16864926 18162228 19675747 21189266 22054134 25729823 31783899 33729852 39351494 42378532 44108268 47783957 51459646 59027241 63567798 77189469 78702988 95567914 102919292 118054482 127135596 137730229 143351871 154378938 180108761 191135828 236108964 275460458 286703742 308757876 334487699 360217522 413190687 540326283 550920916 573407484 668975398 720435044 826381374 1003463097 1080652566 1337950796 1652762748 2006926194 2161305132 2341413893 4013852388 4682827786 7024241679 9365655572 14048483358 28096966716