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6645665466 = 2331117658117
BaseRepresentation
bin1100011000001110…
…01100111010111010
3122011010222210012000
412030013030322322
5102102242243331
63015235401430
7323454136656
oct61407147272
918133883160
106645665466
112900339910
121355753276
1381ba92b3b
14470881a66
1528d6760e6
hex18c1cceba

6645665466 has 64 divisors (see below), whose sum is σ = 17058418560. Its totient is φ = 1895374080.

The previous prime is 6645665443. The next prime is 6645665513.

6645665466 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 318961 + ... + 339156.

It is an arithmetic number, because the mean of its divisors is an integer number (266537790).

Almost surely, 26645665466 is an apocalyptic number.

6645665466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6645665466 is an abundant number, since it is smaller than the sum of its proper divisors (10412753094).

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

6645665466 is a wasteful number, since it uses less digits than its factorization.

6645665466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658156 (or 658150 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The square root of 6645665466 is about 81520.9510862085. The cubic root of 6645665466 is about 1880.0936902531.

The spelling of 6645665466 in words is "six billion, six hundred forty-five million, six hundred sixty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 658117 1316234 1974351 3948702 5923053 7239287 11187989 11846106 14478574 17769159 21717861 22375978 33563967 35538318 43435722 65153583 67127934 100691901 123067879 130307166 195460749 201383802 246135758 302075703 369203637 390921498 604151406 738407274 1107610911 2215221822 3322832733 6645665466