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45778453681 = 192112612
BaseRepresentation
bin101010101000100110…
…111100010010110001
311101011101020101202111
4222220212330102301
51222223241004211
633010315045321
73210301302352
oct525046742261
9141141211674
1045778453681
111846181a8a4
128a57140841
13441728bb1c
142303bc9d29
1512cde5b421
hexaa89bc4b1

45778453681 has 9 divisors (see below), whose sum is σ = 48318946923. Its totient is φ = 43365210120.

The previous prime is 45778453661. The next prime is 45778453687. The reversal of 45778453681 is 18635487754.

The square root of 45778453681 is 213959.

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

It can be written as a sum of positive squares in only one way, i.e., 45372834081 + 405619600 = 213009^2 + 20140^2 .

It is not a de Polignac number, because 45778453681 - 25 = 45778453649 is a prime.

It is a super-2 number, since 2×457784536812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45778453687) 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 8 ways as a sum of consecutive naturals, for example, 4059591 + ... + 4070851.

Almost surely, 245778453681 is an apocalyptic number.

45778453681 is the 213959-th square number.

45778453681 is the 106980-th centered octagonal number.

It is an amenable number.

45778453681 is a deficient number, since it is larger than the sum of its proper divisors (2540493242).

45778453681 is an frugal number, since it uses more digits than its factorization.

45778453681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22560 (or 11280 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 58.

The spelling of 45778453681 in words is "forty-five billion, seven hundred seventy-eight million, four hundred fifty-three thousand, six hundred eighty-one".

Divisors: 1 19 361 11261 213959 4065221 126810121 2409392299 45778453681