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27931608594 = 2341245713841
BaseRepresentation
bin11010000000110110…
…101000011000010010
32200002121020201210000
4122000312220120102
5424200442433334
620455343150430
72006112520131
oct320066503022
980077221700
1027931608594
1110933734a4a
1254b62a5416
1328319c3466
1414cd869918
15ad7257299
hex680da8612

27931608594 has 40 divisors (see below), whose sum is σ = 62597039868. Its totient is φ = 9309116160.

The previous prime is 27931608589. The next prime is 27931608619. The reversal of 27931608594 is 49580613972.

27931608594 is a `hidden beast` number, since 27 + 9 + 3 + 1 + 608 + 5 + 9 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27743232969 + 188375625 = 166563^2 + 13725^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27931608594.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2011114 + ... + 2024954.

It is a 1-persistent number, because it is pandigital, but 2⋅27931608594 = 55863217188 is not.

Almost surely, 227931608594 is an apocalyptic number.

27931608594 is an abundant number, since it is smaller than the sum of its proper divisors (34665431274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27931608594 is a wasteful number, since it uses less digits than its factorization.

27931608594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26312 (or 26303 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 27931608594 in words is "twenty-seven billion, nine hundred thirty-one million, six hundred eight thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 12457 13841 24914 27682 37371 41523 74742 83046 112113 124569 224226 249138 336339 373707 672678 747414 1009017 1121121 2018034 2242242 172417337 344834674 517252011 1034504022 1551756033 3103512066 4655268099 9310536198 13965804297 27931608594