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257343948471 = 3893173040489
BaseRepresentation
bin1110111110101011100…
…1010000011010110111
3220121020202001002111210
43233222321100122313
513204020022322341
6314115553532503
724410136320151
oct3575271203267
9817222032453
10257343948471
119a158a4a455
1241a5bb74133
131b36270c72c
14c653d01ad1
156a62923c16
hex3beae506b7

257343948471 has 16 divisors (see below), whose sum is σ = 348075295200. Its totient is φ = 169099780608.

The previous prime is 257343948431. The next prime is 257343948493. The reversal of 257343948471 is 174849343752.

It is not a de Polignac number, because 257343948471 - 27 = 257343948343 is a prime.

It is a super-3 number, since 3×2573439484713 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257343948431) 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 15 ways as a sum of consecutive naturals, for example, 1435606 + ... + 1604883.

It is an arithmetic number, because the mean of its divisors is an integer number (21754705950).

Almost surely, 2257343948471 is an apocalyptic number.

257343948471 is a deficient number, since it is larger than the sum of its proper divisors (90731346729).

257343948471 is a wasteful number, since it uses less digits than its factorization.

257343948471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040898.

The product of its digits is 20321280, while the sum is 57.

The spelling of 257343948471 in words is "two hundred fifty-seven billion, three hundred forty-three million, nine hundred forty-eight thousand, four hundred seventy-one".

Divisors: 1 3 89 267 317 951 28213 84639 3040489 9121467 270603521 811810563 963835013 2891505039 85781316157 257343948471