| Base | Representation |
|---|---|
| bin | 1110101110101101101… |
| … | …1001111110101100000 |
| 3 | 220012012001001211220200 |
| 4 | 3223223123033311200 |
| 5 | 13121230310013210 |
| 6 | 312130404505200 |
| 7 | 24166003405566 |
| oct | 3535333176540 |
| 9 | 805161054820 |
| 10 | 253057891680 |
| 11 | 98359645560 |
| 12 | 410646ab200 |
| 13 | 1ab2b762859 |
| 14 | c3689a7a36 |
| 15 | 68b14e60c0 |
| hex | 3aeb6cfd60 |
253057891680 has 576 divisors, whose sum is σ = 956198670336. Its totient is φ = 60433920000.
The previous prime is 253057891673. The next prime is 253057891687. The reversal of 253057891680 is 86198750352.
253057891680 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 578 + 9 + 1 + 68 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (253057891673) and next prime (253057891687).
It is a super-2 number, since 2×2530578916802 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (253057891687) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 587141065 + ... + 587141495.
It is an arithmetic number, because the mean of its divisors is an integer number (1660067136).
Almost surely, 2253057891680 is an apocalyptic number.
253057891680 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 253057891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478099335168).
253057891680 is an abundant number, since it is smaller than the sum of its proper divisors (703140778656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253057891680 is a wasteful number, since it uses less digits than its factorization.
253057891680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 3628800, while the sum is 54.
The spelling of 253057891680 in words is "two hundred fifty-three billion, fifty-seven million, eight hundred ninety-one thousand, six hundred eighty".
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