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10505344565 = 517123592289
BaseRepresentation
bin10011100100010101…
…01101011000110101
31000010010122210112202
421302022231120311
5133003332011230
64454233554245
7521221645502
oct116212553065
930103583482
1010505344565
114500aa1951
122052275985
13cb55c4121
1471930a4a9
1541742ea45
hex2722ad635

10505344565 has 8 divisors (see below), whose sum is σ = 13347967320. Its totient is φ = 7909906432.

The previous prime is 10505344559. The next prime is 10505344571. The reversal of 10505344565 is 56544350501.

10505344565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10505344559) and next prime (10505344571).

It can be written as a sum of positive squares in 4 ways, for example, as 3226012804 + 7279331761 = 56798^2 + 85319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10505344565 is a prime.

It is a super-2 number, since 2×105053445652 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61796060 + ... + 61796229.

It is an arithmetic number, because the mean of its divisors is an integer number (1668495915).

Almost surely, 210505344565 is an apocalyptic number.

It is an amenable number.

10505344565 is a deficient number, since it is larger than the sum of its proper divisors (2842622755).

10505344565 is a wasteful number, since it uses less digits than its factorization.

10505344565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123592311.

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 10505344565 in words is "ten billion, five hundred five million, three hundred forty-four thousand, five hundred sixty-five".

Divisors: 1 5 17 85 123592289 617961445 2101068913 10505344565