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1365967681 = 13228432
BaseRepresentation
bin101000101101011…
…0000001101000001
310112012022100101121
41101122300031001
510244141431211
6343313232241
745564351031
oct12132601501
93465270347
101365967681
11641064811
12321562681
13189cc4300
14cd5b38c1
157edc1271
hex516b0341

1365967681 has 9 divisors (see below), whose sum is σ = 1479645219. Its totient is φ = 1260449736.

The previous prime is 1365967661. The next prime is 1365967709. The reversal of 1365967681 is 1867695631.

It is a happy number.

The square root of 1365967681 is 36959.

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., 202066225 + 1163901456 = 14215^2 + 34116^2 .

It is not a de Polignac number, because 1365967681 - 219 = 1365443393 is a prime.

It is a super-2 number, since 2×13659676812 = 3731735411073035522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1365967621) 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, 479046 + ... + 481888.

Almost surely, 21365967681 is an apocalyptic number.

1365967681 is the 36959-th square number.

1365967681 is the 18480-th centered octagonal number.

It is an amenable number.

1365967681 is a deficient number, since it is larger than the sum of its proper divisors (113677538).

1365967681 is an frugal number, since it uses more digits than its factorization.

1365967681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 2856 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The cubic root of 1365967681 is about 1109.5498217764.

The spelling of 1365967681 in words is "one billion, three hundred sixty-five million, nine hundred sixty-seven thousand, six hundred eighty-one".

Divisors: 1 13 169 2843 36959 480467 8082649 105074437 1365967681