| Base | Representation |
|---|---|
| bin | 1111000001011100000… |
| … | …1001011111111101000 |
| 3 | 220200011100000001000000 |
| 4 | 3300113001023333220 |
| 5 | 13212024030200000 |
| 6 | 314321240343000 |
| 7 | 24434365500600 |
| oct | 3602701137750 |
| 9 | 820140001000 |
| 10 | 258084225000 |
| 11 | 9a4a88a9138 |
| 12 | 42027a74a60 |
| 13 | 1b44cbb1494 |
| 14 | c6c4361c00 |
| 15 | 6aa7900000 |
| hex | 3c1704bfe8 |
258084225000 has 1512 divisors, whose sum is σ = 1120616186130. Its totient is φ = 55520640000.
The previous prime is 258084224999. The next prime is 258084225001. The reversal of 258084225000 is 522480852.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
258084225000 is a `hidden beast` number, since 2 + 58 + 0 + 84 + 22 + 500 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (258084224999) and next prime (258084225001).
It can be written as a sum of positive squares in 9 ways, for example, as 49233396996 + 208850828004 = 221886^2 + 457002^2 .
It is a tau number, because it is divible by the number of its divisors (1512).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (258084225001) by changing a digit.
It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 15181424992 + ... + 15181425008.
Almost surely, 2258084225000 is an apocalyptic number.
258084225000 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 258084225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560308093065).
258084225000 is an abundant number, since it is smaller than the sum of its proper divisors (862531961130).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
258084225000 is an frugal number, since it uses more digits than its factorization.
258084225000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 97 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 51200, while the sum is 36.
The spelling of 258084225000 in words is "two hundred fifty-eight billion, eighty-four million, two hundred twenty-five thousand".
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