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81410774337 = 3225735197049
BaseRepresentation
bin100101111010001110…
…1011101010101000001
321210010122201211120100
41023310131131111001
52313212124234322
6101222151233013
75611302110214
oct1136435352501
9253118654510
1081410774337
1131587294792
1213940378769
1378a54b6729
143d2429377b
1521b7290dac
hex12f475d541

81410774337 has 12 divisors (see below), whose sum is σ = 118050905700. Its totient is φ = 54062665728.

The previous prime is 81410774329. The next prime is 81410774339. The reversal of 81410774337 is 73347701418.

It is a happy number.

81410774337 is a `hidden beast` number, since 8 + 141 + 0 + 77 + 433 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63280421136 + 18130353201 = 251556^2 + 134649^2 .

It is not a de Polignac number, because 81410774337 - 23 = 81410774329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81410774292 and 81410774301.

It is not an unprimeable number, because it can be changed into a prime (81410774339) 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 11 ways as a sum of consecutive naturals, for example, 17596212 + ... + 17600837.

It is an arithmetic number, because the mean of its divisors is an integer number (9837575475).

Almost surely, 281410774337 is an apocalyptic number.

It is an amenable number.

81410774337 is a deficient number, since it is larger than the sum of its proper divisors (36640131363).

81410774337 is a wasteful number, since it uses less digits than its factorization.

81410774337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35197312 (or 35197309 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 81410774337 in words is "eighty-one billion, four hundred ten million, seven hundred seventy-four thousand, three hundred thirty-seven".

Divisors: 1 3 9 257 771 2313 35197049 105591147 316773441 9045641593 27136924779 81410774337