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257271400248 = 23310719641677
BaseRepresentation
bin1110111110011010010…
…0100000011100111000
3220121001200112021001120
43233212210200130320
513203342434301443
6314104442545240
724405265551252
oct3574644403470
9817050467046
10257271400248
119a120aa8945
1241a3b808220
131b35068b0a5
14c648418cd2
156a5b393083
hex3be6920738

257271400248 has 16 divisors (see below), whose sum is σ = 643178500680. Its totient is φ = 85757133408.

The previous prime is 257271400231. The next prime is 257271400249. The reversal of 257271400248 is 842004172752.

257271400248 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 2×2572714002482 (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 (257271400249) 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 3 ways as a sum of consecutive naturals, for example, 5359820815 + ... + 5359820862.

Almost surely, 2257271400248 is an apocalyptic number.

It is an amenable number.

257271400248 is an abundant number, since it is smaller than the sum of its proper divisors (385907100432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257271400248 is a wasteful number, since it uses less digits than its factorization.

257271400248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719641686 (or 10719641682 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 257271400248 in words is "two hundred fifty-seven billion, two hundred seventy-one million, four hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 10719641677 21439283354 32158925031 42878566708 64317850062 85757133416 128635700124 257271400248