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560430407161 = 192314412
BaseRepresentation
bin10000010011111000100…
…00010101110111111001
31222120120100200110121201
420021330100111313321
533140230141012121
61105242544334201
755326662601412
oct10117420256771
91876510613551
10560430407161
111a674a399859
1290747014361
1340b04b04951
141d1a6d14809
15e8a1053e91
hex827c415df9

560430407161 has 45 divisors (see below), whose sum is σ = 626465923215. Its totient is φ = 501275282400.

The previous prime is 560430407153. The next prime is 560430407177. The reversal of 560430407161 is 161704034065.

The square root of 560430407161 is 748619.

It is a perfect power (a square), and thus also a powerful number.

560430407161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27004677561 + 533425729600 = 164331^2 + 730360^2 .

It is not a de Polignac number, because 560430407161 - 23 = 560430407153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 560430407161.

It is not an unprimeable number, because it can be changed into a prime (560430407101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13669034301 + ... + 13669034341.

Almost surely, 2560430407161 is an apocalyptic number.

560430407161 is the 748619-th square number.

560430407161 is the 374310-th centered octagonal number.

It is an amenable number.

560430407161 is a deficient number, since it is larger than the sum of its proper divisors (66035516054).

560430407161 is an frugal number, since it uses more digits than its factorization.

560430407161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 560430407161 in words is "five hundred sixty billion, four hundred thirty million, four hundred seven thousand, one hundred sixty-one".

Divisors: 1 19 31 41 361 589 779 961 1271 1681 11191 14801 18259 24149 29791 31939 39401 52111 346921 458831 566029 606841 748619 923521 990109 1221431 1615441 10754551 14223761 17546899 18812071 23207189 30693379 37864361 50078671 333391081 440936591 583174201 719422859 951494749 1552438801 13669034321 18078400231 29496337219 560430407161