| Base | Representation |
|---|---|
| bin | 11111000011111100001… |
| … | …111001101110101100000 |
| 3 | 21120001121110100202220000 |
| 4 | 133003330033031311200 |
| 5 | 234433012110013310 |
| 6 | 4312331522220000 |
| 7 | 310133532313044 |
| oct | 37037417156540 |
| 9 | 7501543322800 |
| 10 | 2134535626080 |
| 11 | 753284793a20 |
| 12 | 2a582b7b4600 |
| 13 | 126394007400 |
| 14 | 7545249a024 |
| 15 | 3a7ce11a4c0 |
| hex | 1f0fc3cdd60 |
2134535626080 has 1440 divisors, whose sum is σ = 9369103645440. Its totient is φ = 452421365760.
The previous prime is 2134535626063. The next prime is 2134535626117. The reversal of 2134535626080 is 806265354312.
2134535626080 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 3 + 562 + 6 + 0 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 457757829 + ... + 457762491.
It is an arithmetic number, because the mean of its divisors is an integer number (6506321976).
Almost surely, 22134535626080 is an apocalyptic number.
2134535626080 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 2134535626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684551822720).
2134535626080 is an abundant number, since it is smaller than the sum of its proper divisors (7234568019360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2134535626080 is a wasteful number, since it uses less digits than its factorization.
2134535626080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4746 (or 4716 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 2134535626080 in words is "two trillion, one hundred thirty-four billion, five hundred thirty-five million, six hundred twenty-six thousand, eighty".
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