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55107625052737 = 2953313275341609
BaseRepresentation
bin11001000011110101111100…
…11010100110101001000001
321020010020102010210112202101
430201322332122212221001
524210340404003141422
6313112032104150401
714415252215142235
oct1441727632465101
9236106363715671
1055107625052737
1116617015764724
126220288168401
13249981bc5a6aa
14d8731a9965c5
15658720c00c27
hex321ebe6a6a41

55107625052737 has 32 divisors (see below), whose sum is σ = 58291645399200. Its totient is φ = 52016513482752.

The previous prime is 55107625052719. The next prime is 55107625052741. The reversal of 55107625052737 is 73725052670155.

It is a happy number.

55107625052737 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 16 ways, for example, as 235694714256 + 54871930338481 = 485484^2 + 7407559^2 .

It is a cyclic number.

It is not a de Polignac number, because 55107625052737 - 27 = 55107625052609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55107625052537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324395189 + ... + 1324436797.

It is an arithmetic number, because the mean of its divisors is an integer number (1821613918725).

Almost surely, 255107625052737 is an apocalyptic number.

It is an amenable number.

55107625052737 is a deficient number, since it is larger than the sum of its proper divisors (3184020346463).

55107625052737 is a wasteful number, since it uses less digits than its factorization.

55107625052737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44757.

The product of its (nonzero) digits is 15435000, while the sum is 55.

The spelling of 55107625052737 in words is "fifty-five trillion, one hundred seven billion, six hundred twenty-five million, fifty-two thousand, seven hundred thirty-seven".

Divisors: 1 29 53 313 1537 2753 9077 16589 41609 79837 145909 481081 861689 1206661 2205277 4231361 13023617 24988981 45669517 63953033 114549577 377684893 690251701 1324415993 3321937733 6071127581 20017299329 35854017601 176062699849 1039766510429 1900262932853 55107625052737