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5764664675 = 527113196601
BaseRepresentation
bin1010101111001100…
…11100110101100011
3112212202020022022002
411113212130311203
543301223232200
62352004434215
7262565561360
oct52746346543
915782208262
105764664675
112499003990
12114a6a896b
1370b3bc1b3
143c986d467
1523b14dbd5
hex15799cd63

5764664675 has 48 divisors (see below), whose sum is σ = 9199601664. Its totient is φ = 3477600000.

The previous prime is 5764664671. The next prime is 5764664677.

5764664675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5764664675 - 22 = 5764664671 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5764664675.

It is not an unprimeable number, because it can be changed into a prime (5764664671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11375 + ... + 107975.

It is an arithmetic number, because the mean of its divisors is an integer number (191658368).

Almost surely, 25764664675 is an apocalyptic number.

5764664675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5764664675 is a deficient number, since it is larger than the sum of its proper divisors (3434936989).

5764664675 is a wasteful number, since it uses less digits than its factorization.

5764664675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96660 (or 96655 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The square root of 5764664675 is about 75925.3888696001. The cubic root of 5764664675 is about 1793.0456638123.

The spelling of 5764664675 in words is "five billion, seven hundred sixty-four million, six hundred sixty-four thousand, six hundred seventy-five".

Divisors: 1 5 7 11 25 31 35 55 77 155 175 217 275 341 385 775 1085 1705 1925 2387 5425 8525 11935 59675 96601 483005 676207 1062611 2415025 2994631 3381035 5313055 7438277 14973155 16905175 20962417 26565275 32940941 37191385 74865775 104812085 164704705 185956925 230586587 524060425 823523525 1152932935 5764664675