| Base | Representation |
|---|---|
| bin | 100001000011101100010001… |
| … | …0111000110110001000011000 |
| 3 | 1102010120011000220210201021010 |
| 4 | 1002013120202320312020120 |
| 5 | 301103103242031412140 |
| 6 | 2510233440404213520 |
| 7 | 115151023224126060 |
| oct | 10207304270661030 |
| 9 | 1363504026721233 |
| 10 | 290778461200920 |
| 11 | 847184a8850700 |
| 12 | 2874299239a2a0 |
| 13 | c6333a2ac3044 |
| 14 | 51b3a772643a0 |
| 15 | 2393c35d31880 |
| hex | 1087622e36218 |
290778461200920 has 3072 divisors, whose sum is σ = 1224830570987520. Its totient is φ = 53801459712000.
The previous prime is 290778461200919. The next prime is 290778461200921. The reversal of 290778461200920 is 29002164877092.
It is an interprime number because it is at equal distance from previous prime (290778461200919) and next prime (290778461200921).
It is a super-2 number, since 2×2907784612009202 (a number of 30 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (290778461200921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 597081028917 + ... + 597081029403.
It is an arithmetic number, because the mean of its divisors is an integer number (398707868160).
Almost surely, 2290778461200920 is an apocalyptic number.
290778461200920 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 290778461200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612415285493760).
290778461200920 is an abundant number, since it is smaller than the sum of its proper divisors (934052109786600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
290778461200920 is a wasteful number, since it uses less digits than its factorization.
290778461200920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 806 (or 791 counting only the distinct ones).
The product of its (nonzero) digits is 6096384, while the sum is 57.
The spelling of 290778461200920 in words is "two hundred ninety trillion, seven hundred seventy-eight billion, four hundred sixty-one million, two hundred thousand, nine hundred twenty".
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