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1345346645016 = 2331123713120643
BaseRepresentation
bin10011100100111100111…
…010001010110000011000
311202121120112001200212010
4103210330322022300120
5134020232220120031
62510013235345520
7166124641541463
oct23447472126030
94677515050763
101345346645016
11479616120820
121988a1a522a0
1399b33a8867a
1449187c902da
1524edeed8246
hex1393ce8ac18

1345346645016 has 128 divisors (see below), whose sum is σ = 3882580439040. Its totient is φ = 384463094400.

The previous prime is 1345346644981. The next prime is 1345346645047. The reversal of 1345346645016 is 6105466435431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129210 + ... + 1991433.

It is an arithmetic number, because the mean of its divisors is an integer number (30332659680).

Almost surely, 21345346645016 is an apocalyptic number.

It is an amenable number.

1345346645016 is an abundant number, since it is smaller than the sum of its proper divisors (2537233794024).

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

1345346645016 is a wasteful number, since it uses less digits than its factorization.

1345346645016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120757 (or 3120753 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 1345346645016 in words is "one trillion, three hundred forty-five billion, three hundred forty-six million, six hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 71 88 92 132 138 142 184 213 253 264 276 284 426 506 552 568 759 781 852 1012 1518 1562 1633 1704 2024 2343 3036 3124 3266 4686 4899 6072 6248 6532 9372 9798 13064 17963 18744 19596 35926 39192 53889 71852 107778 143704 215556 431112 3120643 6241286 9361929 12482572 18723858 24965144 34327073 37447716 68654146 71774789 74895432 102981219 137308292 143549578 205962438 215324367 221565653 274616584 287099156 411924876 430648734 443131306 574198312 664696959 789522679 823849752 861297468 886262612 1329393918 1579045358 1722594936 1772525224 2368568037 2437222183 2658787836 3158090716 4737136074 4874444366 5096010019 5317575672 6316181432 7311666549 9474272148 9748888732 10192020038 14623333098 15288030057 18948544296 19497777464 20384040076 29246666196 30576060114 40768080152 56056110209 58493332392 61152120228 112112220418 122304240456 168168330627 224224440836 336336661254 448448881672 672673322508 1345346645016