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664555424555466 = 232377691297569529
BaseRepresentation
bin1001011100011010001101111…
…0000000111010000111001010
310020010222212201011021020122200
42113012203132000322013022
51144101034002141233331
610313220314124501030
7256656354635234553
oct22706433600720712
93203885634236580
10664555424555466
11182825411267a54
126264b3630aa776
13226a73ccb5b252
14ba1692307332a
1551c692956e5e6
hex25c68de03a1ca

664555424555466 has 48 divisors (see below), whose sum is σ = 1480708493464200. Its totient is φ = 215251213860864.

The previous prime is 664555424555441. The next prime is 664555424555471.

It is a happy number.

664555424555466 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 5 + 5 + 4 + 2 + 4 + 5 + 554 + 66 = 666.

664555424555466 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 630707219793225 + 33848204762241 = 25113885^2 + 5817921^2 .

It is a junction number, because it is equal to n+sod(n) for n = 664555424555394 and 664555424555403.

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 23 ways as a sum of consecutive naturals, for example, 648272611 + ... + 649296918.

Almost surely, 2664555424555466 is an apocalyptic number.

664555424555466 is an abundant number, since it is smaller than the sum of its proper divisors (816153068908734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664555424555466 is a wasteful number, since it uses less digits than its factorization.

664555424555466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297570343 (or 1297570340 counting only the distinct ones).

The product of its digits is 10368000000, while the sum is 72.

The spelling of 664555424555466 in words is "six hundred sixty-four trillion, five hundred fifty-five billion, four hundred twenty-four million, five hundred fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 769 1538 2307 4614 6921 13842 28453 56906 85359 170718 256077 512154 1297569529 2595139058 3892708587 7785417174 11678125761 23356251522 48010072573 96020145146 144030217719 288060435438 432090653157 864181306314 997830967801 1995661935602 2993492903403 5986985806806 8980478710209 17960957420418 36919745808637 73839491617274 110759237425911 221518474851822 332277712277733 664555424555466