Search a number
-
+
13762513762661 is a prime number
BaseRepresentation
bin1100100001000101010110…
…1111100111100101100101
31210201200110020200002212102
43020101111233213211211
53300441112010401121
645134224520501445
72620210630551626
oct310212557474545
953650406602772
1013762513762661
11442671625a554
12166332601a885
1378aa515c0061
143581759b3a4d
1518cedb9da90b
hexc8455be7965

13762513762661 has 2 divisors, whose sum is σ = 13762513762662. Its totient is φ = 13762513762660.

The previous prime is 13762513762607. The next prime is 13762513762747. The reversal of 13762513762661 is 16626731526731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9911755110436 + 3850758652225 = 3148294^2 + 1962335^2 .

It is an emirp because it is prime and its reverse (16626731526731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13762513762661 - 234 = 13745333893477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13762513762597 and 13762513762606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13762513702661) 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 as a sum of consecutive naturals, namely, 6881256881330 + 6881256881331.

It is an arithmetic number, because the mean of its divisors is an integer number (6881256881331).

Almost surely, 213762513762661 is an apocalyptic number.

It is an amenable number.

13762513762661 is a deficient number, since it is larger than the sum of its proper divisors (1).

13762513762661 is an equidigital number, since it uses as much as digits as its factorization.

13762513762661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11430720, while the sum is 56.

The spelling of 13762513762661 in words is "thirteen trillion, seven hundred sixty-two billion, five hundred thirteen million, seven hundred sixty-two thousand, six hundred sixty-one".