Search a number
-
+
53653435100013 = 3741261412383813
BaseRepresentation
bin11000011001100001010011…
…11100001010101101101101
321000222012220010211221001110
430030300221330022231231
524013024213341200023
6310040014154502233
714205222065402640
oct1414605174125555
9230865803757043
1053653435100013
111610632640a941
12602648aa34979
1323c2660515348
14d36ba93bba57
156309b0453a93
hex30cc29f0ab6d

53653435100013 has 32 divisors (see below), whose sum is σ = 83754942550272. Its totient is φ = 29910165926400.

The previous prime is 53653435100011. The next prime is 53653435100059. The reversal of 53653435100013 is 31000153435635.

53653435100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53653435100013 - 21 = 53653435100011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53653435100011) 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, 21315495 + ... + 23699307.

It is an arithmetic number, because the mean of its divisors is an integer number (2617341954696).

Almost surely, 253653435100013 is an apocalyptic number.

It is an amenable number.

53653435100013 is a deficient number, since it is larger than the sum of its proper divisors (30101507450259).

53653435100013 is a wasteful number, since it uses less digits than its factorization.

53653435100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410005.

The product of its (nonzero) digits is 243000, while the sum is 39.

Adding to 53653435100013 its reverse (31000153435635), we get a palindrome (84653588535648).

The spelling of 53653435100013 in words is "fifty-three trillion, six hundred fifty-three billion, four hundred thirty-five million, one hundred thousand, thirteen".

Divisors: 1 3 7 21 41 123 287 861 26141 78423 182987 548961 1071781 2383813 3215343 7151439 7502467 16686691 22507401 50060073 97736333 293208999 684154331 2052462993 62315255633 186945766899 436206789431 1308620368293 2554925480953 7664776442859 17884478366671 53653435100013