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23293817064 = 23327104944059
BaseRepresentation
bin10101101100011010…
…110111000011101000
32020010101102111211100
4111230122313003220
5340201204121224
614411231201400
71453146115050
oct255432670350
966111374740
1023293817064
119973830591
124621076260
132272c0390b
1411ad932560
15914eebac9
hex56c6b70e8

23293817064 has 96 divisors (see below), whose sum is σ = 72170280000. Its totient is φ = 6648880896.

The previous prime is 23293817047. The next prime is 23293817083. The reversal of 23293817064 is 46071839232.

It is a super-2 number, since 2×232938170642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506667 + ... + 550725.

It is an arithmetic number, because the mean of its divisors is an integer number (751773750).

Almost surely, 223293817064 is an apocalyptic number.

23293817064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23293817064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36085140000).

23293817064 is an abundant number, since it is smaller than the sum of its proper divisors (48876462936).

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

23293817064 is a wasteful number, since it uses less digits than its factorization.

23293817064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45127 (or 45120 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23293817064 in words is "twenty-three billion, two hundred ninety-three million, eight hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1049 2098 3147 4196 6294 7343 8392 9441 12588 14686 18882 22029 25176 29372 37764 44058 44059 58744 66087 75528 88116 88118 132174 132177 176232 176236 264348 264354 308413 352472 396531 528696 528708 616826 793062 925239 1057416 1233652 1586124 1850478 2467304 2775717 3172248 3700956 5551434 7401912 11102868 22205736 46217891 92435782 138653673 184871564 277307346 323525237 369743128 415961019 554614692 647050474 831922038 970575711 1109229384 1294100948 1663844076 1941151422 2588201896 2911727133 3327688152 3882302844 5823454266 7764605688 11646908532 23293817064