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1345303782768 = 2431123110779297
BaseRepresentation
bin10011100100111010010…
…110101010010101110000
311202121110112102001220110
4103210322112222111300
5134020140232022033
62510005104541320
7166123611322611
oct23447226522560
94677415361813
101345303782768
114795a3a05780
1219888b621840
1399b27c2c0aa
14491822d3c08
1524edb36d363
hex1393a5aa570

1345303782768 has 80 divisors (see below), whose sum is σ = 3956150290176. Its totient is φ = 389943121920.

The previous prime is 1345303782737. The next prime is 1345303782787. The reversal of 1345303782768 is 8672873035431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55377505 + ... + 55401792.

Almost surely, 21345303782768 is an apocalyptic number.

It is an amenable number.

1345303782768 is an abundant number, since it is smaller than the sum of its proper divisors (2610846507408).

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

1345303782768 is a wasteful number, since it uses less digits than its factorization.

1345303782768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110779342 (or 110779336 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 1345303782768 in words is "one trillion, three hundred forty-five billion, three hundred three million, seven hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 110779297 221558594 332337891 443117188 664675782 886234376 1218572267 1329351564 1772468752 2437144534 2547923831 2658703128 3655716801 4874289068 5095847662 5317406256 7311433602 7643771493 9748578136 10191695324 14622867204 15287542986 19497156272 20383390648 28027162141 29245734408 30575085972 40766781296 56054324282 58491468816 61150171944 84081486423 112108648564 122300343888 168162972846 224217297128 336325945692 448434594256 672651891384 1345303782768