Search a number
-
+
5207051320601 = 133713779018033
BaseRepresentation
bin100101111000101110001…
…1100011011110100011001
3200102210022100201000022212
41023301130130123310121
51140303020114224401
615024030352524505
71045124404643144
oct113613434336431
920383270630285
105207051320601
1117283307a5249
127011b2b50735
132ba03b2178a0
1414004614305b
15906a9c4adbb
hex4bc5c71bd19

5207051320601 has 16 divisors (see below), whose sum is σ = 5801187984144. Its totient is φ = 4642467416064.

The previous prime is 5207051320579. The next prime is 5207051320621. The reversal of 5207051320601 is 1060231507025.

It can be written as a sum of positive squares in 8 ways, for example, as 46207801600 + 5160843519001 = 214960^2 + 2271749^2 .

It is a cyclic number.

It is not a de Polignac number, because 5207051320601 - 218 = 5207051058457 is a prime.

It is a super-4 number, since 4×52070513206014 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5207051320621) 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, 39443120 + ... + 39574913.

It is an arithmetic number, because the mean of its divisors is an integer number (362574249009).

Almost surely, 25207051320601 is an apocalyptic number.

It is an amenable number.

5207051320601 is a deficient number, since it is larger than the sum of its proper divisors (594136663543).

5207051320601 is a wasteful number, since it uses less digits than its factorization.

5207051320601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79018220.

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 5207051320601 its reverse (1060231507025), we get a palindrome (6267282827626).

The spelling of 5207051320601 in words is "five trillion, two hundred seven billion, fifty-one million, three hundred twenty thousand, six hundred one".

Divisors: 1 13 37 137 481 1781 5069 65897 79018033 1027234429 2923667221 10825470521 38007673873 140731116773 400542409277 5207051320601