Search a number
-
+
20352607413137 = 417971729336017
BaseRepresentation
bin1001010000010101101011…
…11011110110001110010001
32200001200122012112000102122
410220022311323312032101
510131424114444210022
6111141505254424025
74200266404414466
oct450126573661621
980050565460378
1020352607413137
11653754632547a
12234857b062015
13b4832011c56c
1450510010166d
15254640c81742
hex1282b5ef6391

20352607413137 has 16 divisors (see below), whose sum is σ = 20876958606672. Its totient is φ = 19829591316480.

The previous prime is 20352607413133. The next prime is 20352607413139. The reversal of 20352607413137 is 73131470625302.

It can be written as a sum of positive squares in 8 ways, for example, as 5939339429776 + 14413267983361 = 2437076^2 + 3796481^2 .

It is a cyclic number.

It is not a de Polignac number, because 20352607413137 - 22 = 20352607413133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20352607413133) 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 15 ways as a sum of consecutive naturals, for example, 565065353 + ... + 565101369.

It is an arithmetic number, because the mean of its divisors is an integer number (1304809912917).

Almost surely, 220352607413137 is an apocalyptic number.

It is an amenable number.

20352607413137 is a deficient number, since it is larger than the sum of its proper divisors (524351193535).

20352607413137 is a wasteful number, since it uses less digits than its factorization.

20352607413137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54148.

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 20352607413137 in words is "twenty trillion, three hundred fifty-two billion, six hundred seven million, four hundred thirteen thousand, one hundred thirty-seven".

Divisors: 1 41 797 17293 32677 36017 709013 1476697 13782521 28705549 565083361 622841981 1176927509 25536521221 496405058857 20352607413137