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64113466431146 = 2118720893341687
BaseRepresentation
bin11101001001111100101000…
…11001000101011010101010
322102000012001201012010212012
432210332110121011122222
531400413334401244041
6344205153031515522
716335021315620336
oct1644762431053252
9272005051163765
1064113466431146
1119479406402910
127235752228ba2
1329a0b49088bc2
1411b917339a7c6
15762b121313eb
hex3a4f946456aa

64113466431146 has 16 divisors (see below), whose sum is σ = 104913096765120. Its totient is φ = 29142442603680.

The previous prime is 64113466431139. The next prime is 64113466431211.

It is a happy number.

64113466431146 is nontrivially palindromic in base 10.

64113466431146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641134664311462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64113466431094 and 64113466431103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17515115 + ... + 20856801.

It is an arithmetic number, because the mean of its divisors is an integer number (6557068547820).

Almost surely, 264113466431146 is an apocalyptic number.

64113466431146 is a deficient number, since it is larger than the sum of its proper divisors (40799630333974).

64113466431146 is a wasteful number, since it uses less digits than its factorization.

64113466431146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213789.

The product of its digits is 2985984, while the sum is 50.

The spelling of 64113466431146 in words is "sixty-four trillion, one hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, one hundred forty-six".

Divisors: 1 2 11 22 872089 1744178 3341687 6683374 9592979 19185958 36758557 73517114 2914248474143 5828496948286 32056733215573 64113466431146