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4205121717 = 317233584929
BaseRepresentation
bin1111101010100101…
…0001000010110101
3101212001200022112210
43322221101002311
532103002343332
61533134204033
7206130642036
oct37251210265
911761608483
104205121717
111868755205
12994353619
13520280004
142bc6aaa8d
15199291ecc
hexfaa510b5

4205121717 has 16 divisors (see below), whose sum is σ = 6194759040. Its totient is φ = 2523789312.

The previous prime is 4205121709. The next prime is 4205121719. The reversal of 4205121717 is 7171215024.

4205121717 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4205121717 - 23 = 4205121709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205121719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791292 + ... + 1793637.

It is an arithmetic number, because the mean of its divisors is an integer number (387172440).

Almost surely, 24205121717 is an apocalyptic number.

It is an amenable number.

4205121717 is a deficient number, since it is larger than the sum of its proper divisors (1989637323).

4205121717 is a wasteful number, since it uses less digits than its factorization.

4205121717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584972.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 4205121717 is about 64846.9098492750. The cubic root of 4205121717 is about 1614.0842149290.

The spelling of 4205121717 in words is "four billion, two hundred five million, one hundred twenty-one thousand, seven hundred seventeen".

Divisors: 1 3 17 23 51 69 391 1173 3584929 10754787 60943793 82453367 182831379 247360101 1401707239 4205121717