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18914775961 = 83216572
BaseRepresentation
bin10001100111011010…
…001001001110011001
31210211012111011201211
4101213122021032121
5302214140312321
612404521143121
71236503641264
oct214732111631
953735434654
1018914775961
118026997154
1237ba62aaa1
131a258cb633
14cb6111cdb
1575a8530e1
hex467689399

18914775961 has 9 divisors (see below), whose sum is σ = 19156971711. Its totient is φ = 18675609552.

The previous prime is 18914775947. The next prime is 18914775991. The reversal of 18914775961 is 16957741981.

It is a happy number.

The square root of 18914775961 is 137531.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6022536025 + 12892239936 = 77605^2 + 113544^2 .

It is not a de Polignac number, because 18914775961 - 215 = 18914743193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18914775896 and 18914775905.

It is not an unprimeable number, because it can be changed into a prime (18914775911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11414245 + ... + 11415901.

Almost surely, 218914775961 is an apocalyptic number.

18914775961 is the 137531-st square number.

18914775961 is the 68766-th centered octagonal number.

It is an amenable number.

18914775961 is a deficient number, since it is larger than the sum of its proper divisors (242195750).

18914775961 is an frugal number, since it uses more digits than its factorization.

18914775961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 1740 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 58.

The spelling of 18914775961 in words is "eighteen billion, nine hundred fourteen million, seven hundred seventy-five thousand, nine hundred sixty-one".

Divisors: 1 83 1657 6889 137531 2745649 11415073 227888867 18914775961