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64131753 = 377614013
BaseRepresentation
bin1111010010100…
…1001010101001
311110200020020010
43310221022221
5112404204003
610210322133
71406053020
oct364511251
9143606203
1064131753
1133223154
1219589349
13103957aa
1487358b7
15596c003
hex3d292a9

64131753 has 16 divisors (see below), whose sum is σ = 97877376. Its totient is φ = 36589440.

The previous prime is 64131733. The next prime is 64131779. The reversal of 64131753 is 35713146.

64131753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64131753 - 26 = 64131689 is a prime.

It is a super-2 number, since 2×641317532 = 8225763485706018, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64131753.

It is not an unprimeable number, because it can be changed into a prime (64131703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13975 + ... + 17987.

It is an arithmetic number, because the mean of its divisors is an integer number (6117336).

Almost surely, 264131753 is an apocalyptic number.

It is an amenable number.

64131753 is a deficient number, since it is larger than the sum of its proper divisors (33745623).

64131753 is a wasteful number, since it uses less digits than its factorization.

64131753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784.

The product of its digits is 7560, while the sum is 30.

The square root of 64131753 is about 8008.2303288554. The cubic root of 64131753 is about 400.2742972762.

Adding to 64131753 its reverse (35713146), we get a palindrome (99844899).

The spelling of 64131753 in words is "sixty-four million, one hundred thirty-one thousand, seven hundred fifty-three".

Divisors: 1 3 7 21 761 2283 4013 5327 12039 15981 28091 84273 3053893 9161679 21377251 64131753