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59140709201 = 729712442817
BaseRepresentation
bin110111000101000011…
…111001101101010001
312122122121200022101002
4313011003321231101
51432110010143301
643100250351345
74162363506500
oct670503715521
9178577608332
1059140709201
1123099430182
12b56612b555
1357667180b2
142c106d2837
1518120b816b
hexdc50f9b51

59140709201 has 12 divisors (see below), whose sum is σ = 69505581348. Its totient is φ = 50169434112.

The previous prime is 59140709191. The next prime is 59140709207. The reversal of 59140709201 is 10290704195.

It can be written as a sum of positive squares in 2 ways, for example, as 18900750400 + 40239958801 = 137480^2 + 200599^2 .

It is not a de Polignac number, because 59140709201 - 26 = 59140709137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (59140709207) 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, 6216656 + ... + 6226161.

It is an arithmetic number, because the mean of its divisors is an integer number (5792131779).

Almost surely, 259140709201 is an apocalyptic number.

It is an amenable number.

59140709201 is a deficient number, since it is larger than the sum of its proper divisors (10364872147).

59140709201 is a wasteful number, since it uses less digits than its factorization.

59140709201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442928 (or 12442921 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 59140709201 in words is "fifty-nine billion, one hundred forty million, seven hundred nine thousand, two hundred one".

Divisors: 1 7 49 97 679 4753 12442817 87099719 609698033 1206953249 8448672743 59140709201