| Base | Representation |
|---|---|
| bin | 1010011110111100000110… |
| … | …10100000110010100000000 |
| 3 | 10000121212120121002102020000 |
| 4 | 11033132003110012110000 |
| 5 | 11010201120343433124 |
| 6 | 121010311510120000 |
| 7 | 4566355036413621 |
| oct | 517360324062400 |
| 9 | 100555517072200 |
| 10 | 23053292561664 |
| 11 | 7388934720102 |
| 12 | 2703a71050000 |
| 13 | cb2bbaa600a1 |
| 14 | 599adcc85a48 |
| 15 | 29ea080536c9 |
| hex | 14f783506500 |
23053292561664 has 1440 divisors, whose sum is σ = 76687258032000. Its totient is φ = 6859497996288.
The previous prime is 23053292561659. The next prime is 23053292561711. The reversal of 23053292561664 is 46616529235032.
23053292561664 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 329 + 256 + 1 + 6 + 64 = 666.
It is a super-3 number, since 3×230532925616643 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 23053292561664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133256026282 + ... + 133256026454.
It is an arithmetic number, because the mean of its divisors is an integer number (53255040300).
Almost surely, 223053292561664 is an apocalyptic number.
23053292561664 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 23053292561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343629016000).
23053292561664 is an abundant number, since it is smaller than the sum of its proper divisors (53633965470336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23053292561664 is a wasteful number, since it uses less digits than its factorization.
23053292561664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 465 (or 442 counting only the distinct ones).
The product of its (nonzero) digits is 13996800, while the sum is 54.
The spelling of 23053292561664 in words is "twenty-three trillion, fifty-three billion, two hundred ninety-two million, five hundred sixty-one thousand, six hundred sixty-four".
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