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706714226505 = 32578357147339
BaseRepresentation
bin10100100100010110111…
…00110100111101001001
32111120011010111102222200
422102023130310331021
543034322320222010
61300354322310413
7102026015544630
oct12221334647511
92446133442880
10706714226505
11252796836421
12b4b711b8409
13518484b6631
14262c2d12517
15135b3772cc0
hexa48b734f49

706714226505 has 96 divisors (see below), whose sum is σ = 1419345607680. Its totient is φ = 318611249280.

The previous prime is 706714226497. The next prime is 706714226507. The reversal of 706714226505 is 505622417607.

706714226505 is a `hidden beast` number, since 70 + 6 + 71 + 4 + 2 + 2 + 6 + 505 = 666.

706714226505 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 706714226505 - 23 = 706714226497 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (706714226507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14905126 + ... + 14952464.

It is an arithmetic number, because the mean of its divisors is an integer number (14784850080).

Almost surely, 2706714226505 is an apocalyptic number.

It is an amenable number.

706714226505 is an abundant number, since it is smaller than the sum of its proper divisors (712631381175).

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

706714226505 is a wasteful number, since it uses less digits than its factorization.

706714226505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48011 (or 48008 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 706714226505 in words is "seven hundred six billion, seven hundred fourteen million, two hundred twenty-six thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 415 571 581 747 1245 1713 1743 2855 2905 3735 3997 5139 5229 8565 8715 11991 19985 25695 26145 35973 47339 47393 59955 142017 142179 179865 236695 236965 331373 331751 426051 426537 710085 710895 994119 995253 1656865 1658755 2130255 2132685 2982357 2985759 3929137 4970595 4976265 11787411 14911785 14928795 19645685 27030569 27503959 35362233 58937055 81091707 82511877 135152845 137519795 176811165 189213983 243275121 247535631 405458535 412559385 567641949 946069915 1216375605 1237678155 1702925847 2243537227 2838209745 6730611681 8514629235 11217686135 15704760589 20191835043 33653058405 47114281767 78523802945 100959175215 141342845301 235571408835 706714226505