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20095614081 = 341928292
BaseRepresentation
bin10010101101110010…
…101011110010000001
31220212111102222010000
4102231302223302001
5312123434122311
613122022430213
71310662621104
oct225562536201
956774388100
1020095614081
1185824a5324
123a89b92369
131b8344400a
14d88c9473b
157c9356056
hex4adcabc81

20095614081 has 45 divisors (see below), whose sum is σ = 31720761171. Its totient is φ = 12676656816.

The previous prime is 20095614067. The next prime is 20095614083. The reversal of 20095614081 is 18041659002.

The square root of 20095614081 is 141759.

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., 11568938481 + 8526675600 = 107559^2 + 92340^2 .

It is not a de Polignac number, because 20095614081 - 27 = 20095613953 is a prime.

It is a super-2 number, since 2×200956140812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20095614083) 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 44 ways as a sum of consecutive naturals, for example, 24240375 + ... + 24241203.

Almost surely, 220095614081 is an apocalyptic number.

20095614081 is the 141759-th square number.

20095614081 is the 70880-th centered octagonal number.

It is an amenable number.

20095614081 is a deficient number, since it is larger than the sum of its proper divisors (11625147090).

20095614081 is an frugal number, since it uses more digits than its factorization.

20095614081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 20095614081 by its sum of digits (36), we get a square (723442106916 = 8505542).

The spelling of 20095614081 in words is "twenty billion, ninety-five million, six hundred fourteen thousand, eighty-one".

Divisors: 1 3 9 19 27 57 81 171 361 513 829 1083 1539 2487 3249 7461 9747 15751 22383 29241 47253 67149 141759 299269 425277 687241 897807 1275831 2061723 2693421 6185169 8080263 13057579 18555507 24240789 39172737 55666521 117518211 248094001 352554633 744282003 1057663899 2232846009 6698538027 20095614081