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3400806535065 = 345193152327259
BaseRepresentation
bin110001011111001111110…
…111011000111110011001
3110001010002001110212120000
4301133033313120332121
5421204322433110230
611122150422323213
7500462104410222
oct61371767307631
913033061425500
103400806535065
1110a13016a2885
1246b123289509
131b890529b814
14ba858246249
155d6e1d55b60
hex317cfdd8f99

3400806535065 has 160 divisors (see below), whose sum is σ = 6637029273600. Its totient is φ = 1659632768640.

The previous prime is 3400806534959. The next prime is 3400806535081. The reversal of 3400806535065 is 5605356080043.

3400806535065 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 80 + 65 + 3 + 506 + 5 = 666.

It is not a de Polignac number, because 3400806535065 - 218 = 3400806272921 is a prime.

It is a super-2 number, since 2×34008065350652 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3400806535065.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124745406 + ... + 124772664.

It is an arithmetic number, because the mean of its divisors is an integer number (41481432960).

Almost surely, 23400806535065 is an apocalyptic number.

It is an amenable number.

3400806535065 is a deficient number, since it is larger than the sum of its proper divisors (3236222738535).

3400806535065 is a wasteful number, since it uses less digits than its factorization.

3400806535065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27849 (or 27840 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 3400806535065 in words is "three trillion, four hundred billion, eight hundred six million, five hundred thirty-five thousand, sixty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 81 93 95 135 155 171 279 285 405 465 513 523 589 837 855 1395 1539 1569 1767 2511 2565 2615 2945 4185 4707 5301 7695 7845 8835 9937 12555 14121 15903 16213 23535 26505 27259 29811 42363 47709 48639 49685 70605 79515 81065 81777 89433 136295 145917 149055 211815 238545 243195 245331 268299 308047 408885 437751 447165 517921 729585 735993 804897 845029 924141 1226655 1313253 1341495 1540235 1553763 2188755 2207979 2535087 2589605 2772423 3679965 4024485 4225145 4620705 4661289 6566265 7605261 7768815 8317269 11039895 12675435 13862115 13983867 14256457 16055551 22815783 23306445 24951807 38026305 41586345 41951601 42769371 48166653 68447349 69919335 71282285 80277755 114078915 124759035 128308113 144499959 209758005 213846855 240833265 270872683 342236745 384924339 433499877 441950167 641540565 722499795 812618049 1154773017 1300499631 1325850501 1354363415 1924621695 2167499385 2209750835 2437854147 3977551503 4063090245 5773865085 6502498155 6629252505 7313562441 8397053173 11932654509 12189270735 19887757515 21940687323 25191159519 35797963527 36567812205 41985265865 59663272545 75573478557 109703436615 125955797595 178989817635 226720435671 377867392785 680161307013 1133602178355 3400806535065