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10605255817 = 1322311932287
BaseRepresentation
bin10011110000001111…
…10101110010001001
31000101002122211000111
421320013311302021
5133204421141232
64512203234321
7523544121112
oct117007656211
930332584014
1010605255817
114552432732
12207b8189a1
131000206400
147286b7209
154210b8047
hex2781f5c89

10605255817 has 24 divisors (see below), whose sum is σ = 11998381824. Its totient is φ = 9351897984.

The previous prime is 10605255803. The next prime is 10605255893. The reversal of 10605255817 is 71855250601.

It is a happy number.

10605255817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10605255817 is a prime.

It is a super-2 number, since 2×106052558172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10605255817.

It is not an unprimeable number, because it can be changed into a prime (10605255317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4636048 + ... + 4638334.

It is an arithmetic number, because the mean of its divisors is an integer number (499932576).

Almost surely, 210605255817 is an apocalyptic number.

It is an amenable number.

10605255817 is a deficient number, since it is larger than the sum of its proper divisors (1393126007).

10605255817 is a wasteful number, since it uses less digits than its factorization.

10605255817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 10605255817 in words is "ten billion, six hundred five million, two hundred fifty-five thousand, eight hundred seventeen".

Divisors: 1 13 23 169 299 1193 2287 3887 15509 27439 29731 52601 201617 356707 386503 683813 2728391 4637191 8889569 35469083 62752993 461098079 815788909 10605255817