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8329403664 = 243429221621
BaseRepresentation
bin1111100000111100…
…01001110100010000
3210111111020112210000
413300132021310100
5114024311404124
63454304010000
7413260522461
oct76036116420
923444215700
108329403664
11359480528a
121745600900
13a2986762a
14590332d68
1533b3b66c9
hex1f0789d10

8329403664 has 100 divisors (see below), whose sum is σ = 24939123660. Its totient is φ = 2680715520.

The previous prime is 8329403653. The next prime is 8329403737. The reversal of 8329403664 is 4663049238.

It can be written as a sum of positive squares in 2 ways, for example, as 4459568400 + 3869835264 = 66780^2 + 62208^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73227 + ... + 148394.

Almost surely, 28329403664 is an apocalyptic number.

It is an amenable number.

8329403664 is an abundant number, since it is smaller than the sum of its proper divisors (16609719996).

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

8329403664 is a wasteful number, since it uses less digits than its factorization.

8329403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221670 (or 221655 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 8329403664 is about 91265.5666941262. The cubic root of 8329403664 is about 2027.0819345168.

The spelling of 8329403664 in words is "eight billion, three hundred twenty-nine million, four hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 221621 443242 664863 886484 1329726 1772968 1994589 2659452 3545936 3989178 5318904 5983767 6427009 7978356 10637808 11967534 12854018 15956712 17951301 19281027 23935068 25708036 31913424 35902602 38562054 47870136 51416072 57843081 71805204 77124108 95740272 102832144 115686162 143610408 154248216 173529243 231372324 287220816 308496432 347058486 462744648 520587729 694116972 925489296 1041175458 1388233944 2082350916 2776467888 4164701832 8329403664