| Base | Representation |
|---|---|
| bin | 1110111101110100010… |
| … | …1101101111100000000 |
| 3 | 220120122121012212022000 |
| 4 | 3233131011231330000 |
| 5 | 13203031224142310 |
| 6 | 314041001344000 |
| 7 | 24401324531430 |
| oct | 3573505557400 |
| 9 | 816577185260 |
| 10 | 257112334080 |
| 11 | 9a04a2340a8 |
| 12 | 419b6498000 |
| 13 | 1b3267366b4 |
| 14 | c6312502c0 |
| 15 | 6a4c4224c0 |
| hex | 3bdd16df00 |
257112334080 has 576 divisors, whose sum is σ = 1057490380800. Its totient is φ = 57936936960.
The previous prime is 257112334079. The next prime is 257112334081. The reversal of 257112334080 is 80433211752.
257112334080 is a `hidden beast` number, since 2 + 5 + 7 + 11 + 233 + 408 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (257112334079) and next prime (257112334081).
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×2571123340802 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (257112334081) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17168836 + ... + 17183804.
It is an arithmetic number, because the mean of its divisors is an integer number (1835920800).
Almost surely, 2257112334080 is an apocalyptic number.
257112334080 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 257112334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528745190400).
257112334080 is an abundant number, since it is smaller than the sum of its proper divisors (800378046720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257112334080 is a wasteful number, since it uses less digits than its factorization.
257112334080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15077 (or 15057 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The spelling of 257112334080 in words is "two hundred fifty-seven billion, one hundred twelve million, three hundred thirty-four thousand, eighty".
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