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81474280969 = 1928321812
BaseRepresentation
bin100101111100000111…
…1101101111000001001
321210022002020022021211
41023320033231320021
52313324403442334
6101232340333121
75613002650564
oct1137017557011
9253262208254
1081474280969
113160a120204
12139596a41a1
1378b56c0813
143d2c8a54db
1521bcb37a64
hex12f83ede09

81474280969 has 27 divisors (see below), whose sum is σ = 87520096359. Its totient is φ = 75834902160.

The previous prime is 81474280939. The next prime is 81474280991. The reversal of 81474280969 is 96908247418.

The square root of 81474280969 is 285437.

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., 897781369 + 80576499600 = 29963^2 + 283860^2 .

It is not a de Polignac number, because 81474280969 - 27 = 81474280841 is a prime.

It is a super-2 number, since 2×814742809692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81474280919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450134059 + ... + 450134239.

Almost surely, 281474280969 is an apocalyptic number.

81474280969 is the 285437-th square number.

81474280969 is the 142719-th centered octagonal number.

It is an amenable number.

81474280969 is a deficient number, since it is larger than the sum of its proper divisors (6045815390).

81474280969 is an frugal number, since it uses more digits than its factorization.

81474280969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 81474280969 in words is "eighty-one billion, four hundred seventy-four million, two hundred eighty thousand, nine hundred sixty-nine".

Divisors: 1 19 83 181 361 1577 3439 6889 15023 29963 32761 65341 130891 285437 622459 1246909 2486929 2719163 5423303 11826721 23691271 51664097 225690529 450134149 981617843 4288120051 81474280969