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966934242248 = 231324725692
BaseRepresentation
bin11100001001000011100…
…01011010001111001000
310102102211022100220002112
432010201301122033020
5111320240131222443
62020111540321452
7126600350306642
oct16044161321710
93372738326075
10966934242248
11343090198777
121374943a3288
1370248a07600
1434b2ab99892
151a243909b18
hexe121c5a3c8

966934242248 has 108 divisors (see below), whose sum is σ = 2009381358915. Its totient is φ = 436014448896.

The previous prime is 966934242217. The next prime is 966934242269. The reversal of 966934242248 is 842242439669.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 727812484 + 966206429764 = 26978^2 + 982958^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=695318.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1699356908 + ... + 1699357476.

Almost surely, 2966934242248 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 966934242248

966934242248 is an abundant number, since it is smaller than the sum of its proper divisors (1042447116667).

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

966934242248 is an equidigital number, since it uses as much as digits as its factorization.

966934242248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 631 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 59.

The spelling of 966934242248 in words is "nine hundred sixty-six billion, nine hundred thirty-four million, two hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 169 188 338 376 569 611 676 1138 1222 1352 2209 2276 2444 4418 4552 4888 7397 7943 8836 14794 15886 17672 26743 28717 29588 31772 53486 57434 59176 63544 96161 106972 114868 192322 213944 229736 323761 347659 373321 384644 647522 695318 746642 769288 1256921 1295044 1390636 1493284 2513842 2590088 2781272 2986568 4208893 4519567 5027684 8417786 9039134 10055368 15216767 16339973 16835572 18078268 30433534 32679946 33671144 36156536 54715609 60867068 65359892 109431218 121734136 130719784 197817971 212419649 218862436 395635942 424839298 437724872 715188049 791271884 849678596 1430376098 1582543768 1699357192 2571633623 2860752196 5143267246 5721504392 9297444637 10286534492 18594889274 20573068984 37189778548 74379557096 120866780281 241733560562 483467121124 966934242248