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23046664032 = 2532797711701
BaseRepresentation
bin10101011101101100…
…000010111101100000
32012111011100211121100
4111131230002331200
5334144421222112
614330521554400
71444055261220
oct253554027540
965434324540
1023046664032
119857271887
124572345a00
13223394a012
141188b98080
158ed47b2dc
hex55db02f60

23046664032 has 144 divisors (see below), whose sum is σ = 74984730912. Its totient is φ = 6577459200.

The previous prime is 23046663973. The next prime is 23046664049.

23046664032 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×230466640322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1963782 + ... + 1975482.

It is an arithmetic number, because the mean of its divisors is an integer number (520727298).

Almost surely, 223046664032 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 23046664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37492365456).

23046664032 is an abundant number, since it is smaller than the sum of its proper divisors (51938066880).

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

23046664032 is a wasteful number, since it uses less digits than its factorization.

23046664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 23046664032 in words is "twenty-three billion, forty-six million, six hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 977 1008 1954 2016 2931 3908 5862 6839 7816 8793 11701 11724 13678 15632 17586 20517 23402 23448 27356 31264 35103 35172 41034 46804 46896 54712 61551 70206 70344 81907 82068 93608 93792 105309 109424 123102 140412 140688 163814 164136 187216 210618 218848 245721 246204 280824 281376 327628 328272 374432 421236 491442 492408 561648 655256 656544 737163 842472 982884 984816 1123296 1310512 1474326 1684944 1965768 1969632 2621024 2948652 3369888 3931536 5897304 7863072 11431877 11794608 22863754 23589216 34295631 45727508 68591262 80023139 91455016 102886893 137182524 160046278 182910032 205773786 240069417 274365048 320092556 365820064 411547572 480138834 548730096 640185112 720208251 823095144 960277668 1097460192 1280370224 1440416502 1646190288 1920555336 2560740448 2880833004 3292380576 3841110672 5761666008 7682221344 11523332016 23046664032