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2166447520216 = 237298325762539
BaseRepresentation
bin11111100001101010010…
…101011011100111011000
321200002222110012221222001
4133201222111123213120
5240443341031121331
64335130253010344
7312343406040220
oct37415225334730
97602873187861
102166447520216
11765870167351
122aba56a839b4
131293ab508ac5
1476bdc7c7080
153b54aa01561
hex1f86a55b9d8

2166447520216 has 128 divisors (see below), whose sum is σ = 4879320768000. Its totient is φ = 882200051712.

The previous prime is 2166447520199. The next prime is 2166447520229. The reversal of 2166447520216 is 6120257446612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34610275 + ... + 34672813.

It is an arithmetic number, because the mean of its divisors is an integer number (38119693500).

Almost surely, 22166447520216 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 2166447520216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439660384000).

2166447520216 is an abundant number, since it is smaller than the sum of its proper divisors (2712873247784).

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

2166447520216 is a wasteful number, since it uses less digits than its factorization.

2166447520216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62921 (or 62917 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 2166447520216 in words is "two trillion, one hundred sixty-six billion, four hundred forty-seven million, five hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 83 116 166 203 232 257 332 406 514 581 664 812 1028 1162 1624 1799 2056 2324 2407 3598 4648 4814 7196 7453 9628 14392 14906 16849 19256 21331 29812 33698 42662 52171 59624 62539 67396 85324 104342 125078 134792 149317 170648 208684 250156 298634 417368 437773 500312 597268 618599 875546 1194536 1237198 1751092 1813631 2474396 3502184 3627262 4330193 4948792 5190737 7254524 8660386 10381474 12695417 14509048 16072523 17320772 20762948 25390834 32145046 34641544 36335159 41525896 50781668 64290092 72670318 101563336 112507661 128580184 145340636 150531373 225015322 290681272 301062746 450030644 466103167 602125492 900061288 932206334 1053719611 1204250984 1334019409 1864412668 2107439222 2668038818 3262722169 3728825336 4214878444 5336077636 6525444338 8429756888 9338135863 10672155272 13050888676 18676271726 26101777352 37352543452 38686562861 74705086904 77373125722 154746251444 270805940027 309492502888 541611880054 1083223760108 2166447520216