| Base | Representation |
|---|---|
| bin | 100000111010001000000… |
| … | …101110000100110000000 |
| 3 | 22000012011100211011000000 |
| 4 | 200322020011300212000 |
| 5 | 244022410104240312 |
| 6 | 4450520034000000 |
| 7 | 322245330625320 |
| oct | 40721005604600 |
| 9 | 8005140734000 |
| 10 | 2261436008832 |
| 11 | 7a2084742800 |
| 12 | 306346416000 |
| 13 | 1353389891a0 |
| 14 | 7b65002b280 |
| 15 | 3dc59cadadc |
| hex | 20e88170980 |
2261436008832 has 2688 divisors, whose sum is σ = 9565605826560. Its totient is φ = 517321728000.
The previous prime is 2261436008831. The next prime is 2261436008837. The reversal of 2261436008832 is 2388006341622.
2261436008832 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 4 + 3 + 600 + 8 + 8 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (2688).
It is a super-2 number, since 2×22614360088322 (a number of 26 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2261436008831) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 31851211357 + ... + 31851211427.
It is an arithmetic number, because the mean of its divisors is an integer number (3558633120).
Almost surely, 22261436008832 is an apocalyptic number.
2261436008832 is a gapful number since it is divisible by the number (22) 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 2261436008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782802913280).
2261436008832 is an abundant number, since it is smaller than the sum of its proper divisors (7304169817728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2261436008832 is a wasteful number, since it uses less digits than its factorization.
2261436008832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 138 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 45.
The spelling of 2261436008832 in words is "two trillion, two hundred sixty-one billion, four hundred thirty-six million, eight thousand, eight hundred thirty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •