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95678243761 = 283210932
BaseRepresentation
bin101100100011011011…
…1100010001110110001
3100010221222111101012211
41121012313202032301
53031422112300021
6111542020452121
76624665440042
oct1310667421661
9303858441184
1095678243761
1137638968731
121666254a041
13903a343629
1448b90b28c9
15274eb093e1
hex1646de23b1

95678243761 has 9 divisors (see below), whose sum is σ = 96105452139. Its totient is φ = 95252930136.

The previous prime is 95678243753. The next prime is 95678243803. The reversal of 95678243761 is 16734287659.

The square root of 95678243761 is 309319.

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., 94282773025 + 1395470736 = 307055^2 + 37356^2 .

It is not a de Polignac number, because 95678243761 - 23 = 95678243753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 95678243696 and 95678243705.

It is not an unprimeable number, because it can be changed into a prime (95678243461) 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, 87536731 + ... + 87537823.

It is an arithmetic number, because the mean of its divisors is an integer number (10678383571).

Almost surely, 295678243761 is an apocalyptic number.

95678243761 is the 309319-th square number.

95678243761 is the 154660-th centered octagonal number.

It is an amenable number.

95678243761 is a deficient number, since it is larger than the sum of its proper divisors (427208378).

95678243761 is an frugal number, since it uses more digits than its factorization.

95678243761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 1376 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 95678243761 in words is "ninety-five billion, six hundred seventy-eight million, two hundred forty-three thousand, seven hundred sixty-one".

Divisors: 1 283 1093 80089 309319 1194649 87537277 338085667 95678243761