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664304759936 = 2723949943517
BaseRepresentation
bin10011010101010111010…
…01100011010010000000
32100111200112121022201122
421222223221203102000
541340444004304221
61225102152251412
765665043202146
oct11525351432200
92314615538648
10664304759936
1123680379a4a4
12a88b63a0b68
134a84a1b260c
142421c73d596
1512430494eab
hex9aaba63480

664304759936 has 64 divisors (see below), whose sum is σ = 1331650800000. Its totient is φ = 330092184576.

The previous prime is 664304759933. The next prime is 664304759959. The reversal of 664304759936 is 639957403466.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (664304759933) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15243650 + ... + 15287166.

It is an arithmetic number, because the mean of its divisors is an integer number (20807043750).

Almost surely, 2664304759936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664304759936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665825400000).

664304759936 is an abundant number, since it is smaller than the sum of its proper divisors (667346040064).

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

664304759936 is a wasteful number, since it uses less digits than its factorization.

664304759936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44269 (or 44257 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 62.

The spelling of 664304759936 in words is "six hundred sixty-four billion, three hundred four million, seven hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 239 478 499 956 998 1912 1996 3824 3992 7648 7984 15296 15968 30592 31936 43517 63872 87034 119261 174068 238522 348136 477044 696272 954088 1392544 1908176 2785088 3816352 5570176 7632704 10400563 15265408 20801126 21714983 41602252 43429966 83204504 86859932 166409008 173719864 332818016 347439728 665636032 694879456 1331272064 1389758912 2779517824 5189880937 10379761874 20759523748 41519047496 83038094992 166076189984 332152379968 664304759936