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285657111961 = 132411132
BaseRepresentation
bin1000010100000100111…
…11011001110110011001
31000022022221020211012121
410022002133121312121
514140011210040321
6335121251141241
726431564250254
oct4120237316631
91008287224177
10285657111961
11100167aa1221
1247441ba4821
1320c25486a00
14db7c2d009b
15766d3e9441
hex42827d9d99

285657111961 has 9 divisors (see below), whose sum is σ = 309328538589. Its totient is φ = 263677074336.

The previous prime is 285657111917. The next prime is 285657111973. The reversal of 285657111961 is 169111756582.

The square root of 285657111961 is 534469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1973047561 + 283684064400 = 44419^2 + 532620^2 .

It is not a de Polignac number, because 285657111961 - 213 = 285657103769 is a prime.

It is a super-2 number, since 2×2856571119612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 285657111899 and 285657111908.

It is not an unprimeable number, because it can be changed into a prime (285658111961) 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 8 ways as a sum of consecutive naturals, for example, 6927541 + ... + 6968653.

It is an arithmetic number, because the mean of its divisors is an integer number (34369837621).

Almost surely, 2285657111961 is an apocalyptic number.

285657111961 is the 534469-th square number.

285657111961 is the 267235-th centered octagonal number.

It is an amenable number.

285657111961 is a deficient number, since it is larger than the sum of its proper divisors (23671426628).

285657111961 is an frugal number, since it uses more digits than its factorization.

285657111961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82252 (or 41126 counting only the distinct ones).

The product of its digits is 907200, while the sum is 52.

The spelling of 285657111961 in words is "two hundred eighty-five billion, six hundred fifty-seven million, one hundred eleven thousand, nine hundred sixty-one".

Divisors: 1 13 169 41113 534469 6948097 1690278769 21973623997 285657111961