| Base | Representation |
|---|---|
| bin | 1111000010111001111… |
| … | …1100001011100100000 |
| 3 | 220201011210001120122212 |
| 4 | 3300232133201130200 |
| 5 | 13213330340200102 |
| 6 | 314424305421252 |
| 7 | 24450220125614 |
| oct | 3605637413440 |
| 9 | 821153046585 |
| 10 | 258478053152 |
| 11 | 9a690139050 |
| 12 | 4211793a828 |
| 13 | 1b4b36717a7 |
| 14 | c72079b344 |
| 15 | 6acc294c52 |
| hex | 3c2e7e1720 |
258478053152 has 96 divisors (see below), whose sum is σ = 580005909504. Its totient is φ = 112240339200.
The previous prime is 258478053139. The next prime is 258478053157. The reversal of 258478053152 is 251350874852.
258478053152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2584780531522 (a number of 24 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 258478053152.
It is not an unprimeable number, because it can be changed into a prime (258478053157) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 6546173 + ... + 6585539.
It is an arithmetic number, because the mean of its divisors is an integer number (6041728224).
Almost surely, 2258478053152 is an apocalyptic number.
258478053152 is a gapful number since it is divisible by the number (22) 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 258478053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290002954752).
258478053152 is an abundant number, since it is smaller than the sum of its proper divisors (321527856352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
258478053152 is a wasteful number, since it uses less digits than its factorization.
258478053152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40222 (or 40214 counting only the distinct ones).
The product of its (nonzero) digits is 2688000, while the sum is 50.
The spelling of 258478053152 in words is "two hundred fifty-eight billion, four hundred seventy-eight million, fifty-three thousand, one hundred fifty-two".
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