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664516699956 = 22342970723361
BaseRepresentation
bin10011010101110000100…
…10000010011100110100
32100112020022101222210000
421222320102002130310
541341412233344311
61225135203031300
766003225516114
oct11527022023464
92315208358700
10664516699956
1123690239813a
12a895536b530
134a88208a505
142423c94d044
1512443dac056
hex9ab8482734

664516699956 has 60 divisors (see below), whose sum is σ = 1797080628420. Its totient is φ = 213867440640.

The previous prime is 664516699943. The next prime is 664516699997. The reversal of 664516699956 is 659996615466.

It is a happy number.

664516699956 is a `hidden beast` number, since 66 + 451 + 6 + 69 + 9 + 9 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 463875415056 + 200641284900 = 681084^2 + 447930^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 35352285 + ... + 35371076.

It is an arithmetic number, because the mean of its divisors is an integer number (29951343807).

Almost surely, 2664516699956 is an apocalyptic number.

It is an amenable number.

664516699956 is an abundant number, since it is smaller than the sum of its proper divisors (1132563928464).

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

664516699956 is a wasteful number, since it uses less digits than its factorization.

664516699956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70723406 (or 70723395 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 72.

The spelling of 664516699956 in words is "six hundred sixty-four billion, five hundred sixteen million, six hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 70723361 141446722 212170083 282893444 424340166 636510249 848680332 1273020498 1909530747 2050977469 2546040996 3819061494 4101954938 5728592241 6152932407 7638122988 8203909876 11457184482 12305864814 18458797221 22914368964 24611729628 36917594442 55376391663 73835188884 110752783326 166129174989 221505566652 332258349978 664516699956