| Base | Representation |
|---|---|
| bin | 11101101110011010001… |
| … | …100001000000101000000 |
| 3 | 21020021120000112102200000 |
| 4 | 131232122030020011000 |
| 5 | 231431420230220210 |
| 6 | 4202222435400000 |
| 7 | 300402630240600 |
| oct | 35563214100500 |
| 9 | 7207500472600 |
| 10 | 2042696335680 |
| 11 | 718336912820 |
| 12 | 28ba7aa53000 |
| 13 | 11a819119520 |
| 14 | 70c1d1b8c00 |
| 15 | 38206573ac0 |
| hex | 1db9a308140 |
2042696335680 has 4032 divisors, whose sum is σ = 10454315010048. Its totient is φ = 372471644160.
The previous prime is 2042696335621. The next prime is 2042696335681. The reversal of 2042696335680 is 865336962402.
It is a happy number.
2042696335680 is a `hidden beast` number, since 2 + 0 + 42 + 6 + 9 + 6 + 33 + 568 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a super-4 number, since 4×20426963356804 (a number of 50 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2042696335681) by changing a digit.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12531879279 + ... + 12531879441.
It is an arithmetic number, because the mean of its divisors is an integer number (2592836064).
Almost surely, 22042696335680 is an apocalyptic number.
2042696335680 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 2042696335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227157505024).
2042696335680 is an abundant number, since it is smaller than the sum of its proper divisors (8411618674368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042696335680 is a wasteful number, since it uses less digits than its factorization.
2042696335680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 256 (or 227 counting only the distinct ones).
The product of its (nonzero) digits is 11197440, while the sum is 54.
The spelling of 2042696335680 in words is "two trillion, forty-two billion, six hundred ninety-six million, three hundred thirty-five thousand, six hundred eighty".
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