| Base | Representation |
|---|---|
| bin | 1111010110111111111… |
| … | …1110011000000000000 |
| 3 | 221020002200201110201001 |
| 4 | 3311233333303000000 |
| 5 | 13310402213000000 |
| 6 | 321115432421344 |
| 7 | 25030664664310 |
| oct | 3655777630000 |
| 9 | 836080643631 |
| 10 | 263872000000 |
| 11 | a19a8957164 |
| 12 | 43182247854 |
| 13 | 1bb6300270b |
| 14 | cab2cc9440 |
| 15 | 6ce5ab646a |
| hex | 3d6fff3000 |
263872000000 has 728 divisors, whose sum is σ = 819089515520. Its totient is φ = 82944000000.
The previous prime is 263871999997. The next prime is 263872000003. The reversal of 263872000000 is 278362.
It is an interprime number because it is at equal distance from previous prime (263871999997) and next prime (263872000003).
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 263872000000 = 12003 + 64003 = 43203 + 56803.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (263872000003) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8511999985 + ... + 8512000015.
Almost surely, 2263872000000 is an apocalyptic number.
263872000000 is a gapful number since it is divisible by the number (20) 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 263872000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409544757760).
263872000000 is an abundant number, since it is smaller than the sum of its proper divisors (555217515520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263872000000 is an frugal number, since it uses more digits than its factorization.
263872000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 28.
Adding to 263872000000 its reverse (278362), we get a palindrome (263872278362).
The spelling of 263872000000 in words is "two hundred sixty-three billion, eight hundred seventy-two million", and thus it is an aban number.
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