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10656645341 = 293373533089
BaseRepresentation
bin10011110110010111…
…11000000011011101
31000111200100200012012
421323023320003131
5133311100122331
64521240521005
7525036663566
oct117313700335
930450320165
1010656645341
114579442411
122094a80165
13100aa5a104
1473145316d
1542586982b
hex27b2f80dd

10656645341 has 16 divisors (see below), whose sum is σ = 11091740400. Its totient is φ = 10226270208.

The previous prime is 10656645289. The next prime is 10656645359. The reversal of 10656645341 is 14354665601.

It can be written as a sum of positive squares in 8 ways, for example, as 93122500 + 10563522841 = 9650^2 + 102779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10656645341 is a prime.

It is a super-2 number, since 2×106566453412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656645371) 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, 3448325 + ... + 3451413.

It is an arithmetic number, because the mean of its divisors is an integer number (693233775).

Almost surely, 210656645341 is an apocalyptic number.

It is an amenable number.

10656645341 is a deficient number, since it is larger than the sum of its proper divisors (435095059).

10656645341 is a wasteful number, since it uses less digits than its factorization.

10656645341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 10656645341 in words is "ten billion, six hundred fifty-six million, six hundred forty-five thousand, three hundred forty-one".

Divisors: 1 29 337 353 3089 9773 10237 89581 118961 1040993 1090417 3449869 30188797 31622093 367470529 10656645341