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64242265365 = 32513710420481
BaseRepresentation
bin111011110101001000…
…110010110100010101
320010211011011012210200
4323311020302310111
52023032004442430
645302410411113
74432661150205
oct736510626425
9203734135720
1064242265365
11252770a18a3
121054a730a99
13609a613895
14317606c405
151a0edd0460
hexef5232d15

64242265365 has 24 divisors (see below), whose sum is σ = 112166068248. Its totient is φ = 34012446720.

The previous prime is 64242265357. The next prime is 64242265387. The reversal of 64242265365 is 56356224246.

64242265365 is a `hidden beast` number, since 6 + 4 + 24 + 2 + 265 + 365 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8132973489 + 56109291876 = 90183^2 + 236874^2 .

It is not a de Polignac number, because 64242265365 - 23 = 64242265357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 64242265365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5204076 + ... + 5216405.

It is an arithmetic number, because the mean of its divisors is an integer number (4673586177).

Almost surely, 264242265365 is an apocalyptic number.

It is an amenable number.

64242265365 is a deficient number, since it is larger than the sum of its proper divisors (47923802883).

64242265365 is a wasteful number, since it uses less digits than its factorization.

64242265365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420629 (or 10420626 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 64242265365 in words is "sixty-four billion, two hundred forty-two million, two hundred sixty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 10420481 31261443 52102405 93784329 156307215 468921645 1427605897 4282817691 7138029485 12848453073 21414088455 64242265365