| Base | Representation |
|---|---|
| bin | 100000110111111000010101… |
| … | …0011111000101100000000000 |
| 3 | 1101220210221211110102102212200 |
| 4 | 1001233300222133011200000 |
| 5 | 300400004111300343333 |
| 6 | 2502552003123353200 |
| 7 | 114622523466256014 |
| oct | 10157605237054000 |
| 9 | 1356727743372780 |
| 10 | 289155091027968 |
| 11 | 84151a9269a3a0 |
| 12 | 2852023ab22800 |
| 13 | c5462922108c9 |
| 14 | 5159276c4a544 |
| 15 | 23668c2bbbc13 |
| hex | 106fc2a7c5800 |
289155091027968 has 1152 divisors, whose sum is σ = 967490334720000. Its totient is φ = 82280102952960.
The previous prime is 289155091027967. The next prime is 289155091027981. The reversal of 289155091027968 is 869720190551982.
289155091027968 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 5 + 509 + 1 + 0 + 27 + 96 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×2891550910279682 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 289155091027896 and 289155091027905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (289155091027967) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266012042721 + ... + 266012043807.
It is an arithmetic number, because the mean of its divisors is an integer number (839835360000).
Almost surely, 2289155091027968 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 289155091027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483745167360000).
289155091027968 is an abundant number, since it is smaller than the sum of its proper divisors (678335243692032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289155091027968 is a wasteful number, since it uses less digits than its factorization.
289155091027968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1691 (or 1668 counting only the distinct ones).
The product of its (nonzero) digits is 195955200, while the sum is 72.
The spelling of 289155091027968 in words is "two hundred eighty-nine trillion, one hundred fifty-five billion, ninety-one million, twenty-seven thousand, nine hundred sixty-eight".
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