| Base | Representation |
|---|---|
| bin | 11110100000111111110… |
| … | …000101111100000000000 |
| 3 | 21102110202111101121221200 |
| 4 | 132200333300233200000 |
| 5 | 233324141012020103 |
| 6 | 4243204351021200 |
| 7 | 304334646023130 |
| oct | 36407760574000 |
| 9 | 7373674347850 |
| 10 | 2097013782528 |
| 11 | 73937a67a565 |
| 12 | 29a4b980a800 |
| 13 | 1229944a6a12 |
| 14 | 736d3094ac0 |
| 15 | 39834e970a3 |
| hex | 1e83fc2f800 |
2097013782528 has 288 divisors, whose sum is σ = 7145080750080. Its totient is φ = 579818373120.
The previous prime is 2097013782491. The next prime is 2097013782529. The reversal of 2097013782528 is 8252873107902.
2097013782528 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 0 + 1 + 37 + 82 + 528 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×20970137825282 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2097013782529) 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 23 ways as a sum of consecutive naturals, for example, 3737601 + ... + 4261887.
It is an arithmetic number, because the mean of its divisors is an integer number (24809308160).
Almost surely, 22097013782528 is an apocalyptic number.
2097013782528 is a gapful number since it is divisible by the number (28) 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 2097013782528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572540375040).
2097013782528 is an abundant number, since it is smaller than the sum of its proper divisors (5048066967552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2097013782528 is a wasteful number, since it uses less digits than its factorization.
2097013782528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 524353 (or 524330 counting only the distinct ones).
The product of its (nonzero) digits is 3386880, while the sum is 54.
The spelling of 2097013782528 in words is "two trillion, ninety-seven billion, thirteen million, seven hundred eighty-two thousand, five hundred twenty-eight".
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