Base | Representation |
---|---|
bin | 100111111111001100… |
… | …0101001011010111000 |
3 | 22012122120210102012000 |
4 | 1033332120221122320 |
5 | 2401331244040400 |
6 | 103241004221000 |
7 | 6126665050401 |
oct | 1177630513270 |
9 | 265576712160 |
10 | 85872252600 |
11 | 33466714402 |
12 | 1478653a760 |
13 | 81368c34b4 |
14 | 4228a129a8 |
15 | 2378cc0600 |
hex | 13fe6296b8 |
85872252600 has 384 divisors, whose sum is σ = 309462336000. Its totient is φ = 21886888320.
The previous prime is 85872252539. The next prime is 85872252601. The reversal of 85872252600 is 625227858.
85872252600 is a `hidden beast` number, since 8 + 58 + 72 + 2 + 526 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (85872252601) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65701147 + ... + 65702453.
It is an arithmetic number, because the mean of its divisors is an integer number (805891500).
Almost surely, 285872252600 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85872252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154731168000).
85872252600 is an abundant number, since it is smaller than the sum of its proper divisors (223590083400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85872252600 is a wasteful number, since it uses less digits than its factorization.
85872252600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1401 (or 1340 counting only the distinct ones).
The product of its (nonzero) digits is 537600, while the sum is 45.
The spelling of 85872252600 in words is "eighty-five billion, eight hundred seventy-two million, two hundred fifty-two thousand, six hundred".
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