Base | Representation |
---|---|
bin | 1100011010010011011010100… |
… | …1000010101111000000000000 |
3 | 11020112021001010002101012000000 |
4 | 3012210312221002233000000 |
5 | 1403432344124414032430 |
6 | 12333241302452000000 |
7 | 351646102414536300 |
oct | 30644665102570000 |
9 | 4215231102335000 |
10 | 873345781002240 |
11 | 233302958330a27 |
12 | 81b5031b000000 |
13 | 2b6411ccaa2b20 |
14 | 11594238a03600 |
15 | 6ae7adbe16e60 |
hex | 31a4da90af000 |
873345781002240 has 4368 divisors, whose sum is σ = 3972119201066016. Its totient is φ = 182598893568000.
The previous prime is 873345781002239. The next prime is 873345781002269. The reversal of 873345781002240 is 42200187543378.
It is a happy number.
873345781002240 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 4 + 578 + 1 + 0 + 0 + 22 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (4368).
It is a Harshad number since it is a multiple of its sum of digits (54).
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 335 ways as a sum of consecutive naturals, for example, 1245857033890 + ... + 1245857034590.
It is an arithmetic number, because the mean of its divisors is an integer number (909367948962).
Almost surely, 2873345781002240 is an apocalyptic number.
873345781002240 is a gapful number since it is divisible by the number (80) 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 873345781002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986059600533008).
873345781002240 is an abundant number, since it is smaller than the sum of its proper divisors (3098773420063776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
873345781002240 is a wasteful number, since it uses less digits than its factorization.
873345781002240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 906 (or 862 counting only the distinct ones).
The product of its (nonzero) digits is 9031680, while the sum is 54.
The spelling of 873345781002240 in words is "eight hundred seventy-three trillion, three hundred forty-five billion, seven hundred eighty-one million, two thousand, two hundred forty".
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