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10547397341 = 133753413737
BaseRepresentation
bin10011101001010110…
…01000001011011101
31000020001210022002222
421310223020023131
5133100113203331
64502335155125
7522242253365
oct116453101335
930201708088
1010547397341
114522804808
122064375aa5
13cc1229120
14720b359a5
1541ae89b7b
hex274ac82dd

10547397341 has 16 divisors (see below), whose sum is σ = 11885865264. Its totient is φ = 9294165504.

The previous prime is 10547397331. The next prime is 10547397389. The reversal of 10547397341 is 14379374501.

10547397341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 96628900 + 10450768441 = 9830^2 + 102229^2 .

It is not a de Polignac number, because 10547397341 - 210 = 10547396317 is a prime.

It is a super-2 number, since 2×105473973412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10547397292 and 10547397301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10547397331) 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 15 ways as a sum of consecutive naturals, for example, 181376 + ... + 232361.

It is an arithmetic number, because the mean of its divisors is an integer number (742866579).

Almost surely, 210547397341 is an apocalyptic number.

It is an amenable number.

10547397341 is a deficient number, since it is larger than the sum of its proper divisors (1338467923).

10547397341 is a wasteful number, since it uses less digits than its factorization.

10547397341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413840.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 10547397341 in words is "ten billion, five hundred forty-seven million, three hundred ninety-seven thousand, three hundred forty-one".

Divisors: 1 13 37 53 481 689 1961 25493 413737 5378581 15308269 21928061 199007497 285064793 811338257 10547397341