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23418486961 = 19927692
BaseRepresentation
bin10101110011110110…
…011100000010110001
32020110002000101202221
4111303312130002301
5340430113040321
614431443241041
71456221566122
oct256366340261
966402011687
1023418486961
119a28141961
124656979181
1322929a429c
1411c2306049
15920e25e41
hex573d9c0b1

23418486961 has 9 divisors (see below), whose sum is σ = 23567405931. Its totient is φ = 23270505984.

The previous prime is 23418486929. The next prime is 23418486977. The reversal of 23418486961 is 16968481432.

The square root of 23418486961 is 153031.

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., 9162126961 + 14256360000 = 95719^2 + 119400^2 .

It is not a de Polignac number, because 23418486961 - 25 = 23418486929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23418486899 and 23418486908.

It is not an unprimeable number, because it can be changed into a prime (23418486361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30452785 + ... + 30453553.

It is an arithmetic number, because the mean of its divisors is an integer number (2618600659).

Almost surely, 223418486961 is an apocalyptic number.

23418486961 is the 153031-st square number.

23418486961 is the 76516-th centered octagonal number.

It is an amenable number.

23418486961 is a deficient number, since it is larger than the sum of its proper divisors (148918970).

23418486961 is an frugal number, since it uses more digits than its factorization.

23418486961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 968 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The spelling of 23418486961 in words is "twenty-three billion, four hundred eighteen million, four hundred eighty-six thousand, nine hundred sixty-one".

Divisors: 1 199 769 39601 153031 591361 30453169 117680839 23418486961