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9264968064 = 273211266467
BaseRepresentation
bin10001010000011110…
…00011000110000000
3212220200200010212100
420220033003012000
5122433312434224
64131204230400
7445410633462
oct105017030600
925820603770
109264968064
113a24918700
12196699b400
13b48633931
1463c6aa132
153935baac9
hex2283c3180

9264968064 has 144 divisors (see below), whose sum is σ = 29305408860. Its totient is φ = 2807523840.

The previous prime is 9264968051. The next prime is 9264968093. The reversal of 9264968064 is 4608694629.

9264968064 is a `hidden beast` number, since 92 + 6 + 496 + 8 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 9264968064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106159 + ... + 172625.

Almost surely, 29264968064 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 9264968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652704430).

9264968064 is an abundant number, since it is smaller than the sum of its proper divisors (20040440796).

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

9264968064 is a wasteful number, since it uses less digits than its factorization.

9264968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66509 (or 66483 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 9264968064 is about 96254.7041136172. The cubic root of 9264968064 is about 2100.2998864250.

The spelling of 9264968064 in words is "nine billion, two hundred sixty-four million, nine hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 46464 66467 69696 132934 139392 199401 265868 398802 531736 598203 731137 797604 1063472 1196406 1462274 1595208 2126944 2193411 2392812 2924548 3190416 4253888 4386822 4785624 5849096 6380832 6580233 8042507 8507776 8773644 9571248 11698192 12761664 13160466 16085014 17547288 19142496 23396384 24127521 25523328 26320932 32170028 35094576 38284992 46792768 48255042 52641864 64340056 70189152 72382563 76569984 93585536 96510084 105283728 128680112 140378304 144765126 193020168 210567456 257360224 280756608 289530252 386040336 421134912 514720448 579060504 772080672 842269824 1029440896 1158121008 1544161344 2316242016 3088322688 4632484032 9264968064