| Base | Representation |
|---|---|
| bin | 11101110001101000000… |
| … | …111011111000001100000 |
| 3 | 21020121110210112000110000 |
| 4 | 131301220013133001200 |
| 5 | 232011004203203230 |
| 6 | 4203553333540000 |
| 7 | 300554351306520 |
| oct | 35615007370140 |
| 9 | 7217423460400 |
| 10 | 2046151225440 |
| 11 | 71984a029613 |
| 12 | 290683aa4600 |
| 13 | 11ac49b202aa |
| 14 | 71069d93680 |
| 15 | 38359a1eb60 |
| hex | 1dc681df060 |
2046151225440 has 1920 divisors, whose sum is σ = 9062710272000. Its totient is φ = 424248606720.
The previous prime is 2046151225351. The next prime is 2046151225477. The reversal of 2046151225440 is 445221516402.
2046151225440 is a `hidden beast` number, since 2 + 0 + 4 + 61 + 51 + 2 + 2 + 544 + 0 = 666.
It is a super-2 number, since 2×20461512254402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2046151225395 and 2046151225404.
It is a congruent number.
It is an unprimeable number.
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 319 ways as a sum of consecutive naturals, for example, 7961677792 + ... + 7961678048.
It is an arithmetic number, because the mean of its divisors is an integer number (4720161600).
Almost surely, 22046151225440 is an apocalyptic number.
2046151225440 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 2046151225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531355136000).
2046151225440 is an abundant number, since it is smaller than the sum of its proper divisors (7016559046560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2046151225440 is a wasteful number, since it uses less digits than its factorization.
2046151225440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 490 (or 473 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The spelling of 2046151225440 in words is "two trillion, forty-six billion, one hundred fifty-one million, two hundred twenty-five thousand, four hundred forty".
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