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64411317 = 32171972137
BaseRepresentation
bin1111010110110…
…1011010110101
311111012102201100
43311231122311
5112442130232
610220320313
71411326045
oct365553265
9144172640
1064411317
11333a41a3
12196a3099
1310462b09
1487a9725
1559c4c7c
hex3d6d6b5

64411317 has 24 divisors (see below), whose sum is σ = 99057816. Its totient is φ = 40190976.

The previous prime is 64411313. The next prime is 64411327. The reversal of 64411317 is 71311446.

It is a happy number.

64411317 is a `hidden beast` number, since 644 + 1 + 1 + 3 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19131876 + 45279441 = 4374^2 + 6729^2 .

It is not a de Polignac number, because 64411317 - 22 = 64411313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64411313) 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 23 ways as a sum of consecutive naturals, for example, 29073 + ... + 31209.

It is an arithmetic number, because the mean of its divisors is an integer number (4127409).

Almost surely, 264411317 is an apocalyptic number.

It is an amenable number.

64411317 is a deficient number, since it is larger than the sum of its proper divisors (34646499).

64411317 is a wasteful number, since it uses less digits than its factorization.

64411317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2354 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 64411317 is about 8025.6661405767. Note that the first 3 decimals coincide. The cubic root of 64411317 is about 400.8550812045.

The spelling of 64411317 in words is "sixty-four million, four hundred eleven thousand, three hundred seventeen".

Divisors: 1 3 9 17 51 153 197 591 1773 2137 3349 6411 10047 19233 30141 36329 108987 326961 420989 1262967 3788901 7156813 21470439 64411317