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616464401232013 is a prime number
BaseRepresentation
bin1000110000101010111100110…
…1101001101111000010001101
32222211201102101001111220110221
42030022233031221233002031
51121300123043203411023
610023035500350431341
7243564040354523605
oct21412571551570215
92884642331456427
10616464401232013
111694740a23355a4
1259182b20802551
13205c9460b65139
14ac3307155bc05
154b409c17c385d
hex230abcda6f08d

616464401232013 has 2 divisors, whose sum is σ = 616464401232014. Its totient is φ = 616464401232012.

The previous prime is 616464401231993. The next prime is 616464401232037. The reversal of 616464401232013 is 310232104464616.

616464401232013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 590108940296964 + 26355460935049 = 24292158^2 + 5133757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-616464401232013 is a prime.

It is a super-2 number, since 2×6164644012320132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (616464401232083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308232200616006 + 308232200616007.

It is an arithmetic number, because the mean of its divisors is an integer number (308232200616007).

Almost surely, 2616464401232013 is an apocalyptic number.

It is an amenable number.

616464401232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

616464401232013 is an equidigital number, since it uses as much as digits as its factorization.

616464401232013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 43.

Adding to 616464401232013 its reverse (310232104464616), we get a palindrome (926696505696629).

The spelling of 616464401232013 in words is "six hundred sixteen trillion, four hundred sixty-four billion, four hundred one million, two hundred thirty-two thousand, thirteen".