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706145713 = 72132269317
BaseRepresentation
bin101010000101101…
…110110110110001
31211012201220210221
4222011232312301
52421233130323
6154023053041
723333065600
oct5205566661
91735656727
10706145713
113326677a9
121785a1181
13b33b1800
1469ad7a37
1541ed855d
hex2a16edb1

706145713 has 36 divisors (see below), whose sum is σ = 895605660. Its totient is φ = 554875776.

The previous prime is 706145681. The next prime is 706145723. The reversal of 706145713 is 317541607.

It can be written as a sum of positive squares in 6 ways, for example, as 451647504 + 254498209 = 21252^2 + 15953^2 .

It is not a de Polignac number, because 706145713 - 25 = 706145681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (706145723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2227431 + ... + 2227747.

It is an arithmetic number, because the mean of its divisors is an integer number (24877935).

Almost surely, 2706145713 is an apocalyptic number.

It is an amenable number.

706145713 is a deficient number, since it is larger than the sum of its proper divisors (189459947).

706145713 is a wasteful number, since it uses less digits than its factorization.

706145713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 706145713 is about 26573.4023602549. The cubic root of 706145713 is about 890.4949117936.

The spelling of 706145713 in words is "seven hundred six million, one hundred forty-five thousand, seven hundred thirteen".

Divisors: 1 7 13 49 91 169 269 317 637 1183 1883 2219 3497 4121 8281 13181 15533 24479 28847 45461 53573 85273 171353 201929 318227 375011 596911 1108549 2227589 2625077 4178377 7759843 14411137 54318901 100877959 706145713