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706080561797 = 13416121716869
BaseRepresentation
bin10100100011001011010…
…11100101101010000101
32111111111222010221102102
422101211223211222011
543032023110434142
61300211404521445
7102004222514642
oct12214553455205
92444458127372
10706080561797
112524a1084786
12b4a14b50285
13517771319c0
1426262ac4dc9
1513577d05532
hexa465ae5a85

706080561797 has 16 divisors (see below), whose sum is σ = 791710212720. Its totient is φ = 625445798400.

The previous prime is 706080561779. The next prime is 706080561821. The reversal of 706080561797 is 797165080607.

It is a Cunningham number, because it is equal to 8402862+1.

It can be written as a sum of positive squares in 8 ways, for example, as 496537259716 + 209543302081 = 704654^2 + 457759^2 .

It is a cyclic number.

It is not a de Polignac number, because 706080561797 - 214 = 706080545413 is a prime.

It is a super-3 number, since 3×7060805617973 (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706080561707) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10825922 + ... + 10890947.

It is an arithmetic number, because the mean of its divisors is an integer number (49481888295).

Almost surely, 2706080561797 is an apocalyptic number.

It is an amenable number.

706080561797 is a deficient number, since it is larger than the sum of its proper divisors (85629650923).

706080561797 is a wasteful number, since it uses less digits than its factorization.

706080561797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21716984.

The product of its (nonzero) digits is 4445280, while the sum is 56.

The spelling of 706080561797 in words is "seven hundred six billion, eighty million, five hundred sixty-one thousand, seven hundred ninety-seven".

Divisors: 1 13 41 61 533 793 2501 32513 21716869 282319297 890391629 1324729009 11575091177 17221477117 54313889369 706080561797