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257050312376223 = 3534573537568121
BaseRepresentation
bin111010011100100100110000…
…100011101111111110011111
31020201010202210020100211100010
4322130210300203233332133
5232143003014432014343
62310411141105134303
7105100162240325562
oct7234446043577637
91221122706324303
10257050312376223
11749a44750596a3
12249b60a562a393
13b0579819bc2a2
14476943146a4d9
151eab7063e8d33
hexe9c9308eff9f

257050312376223 has 16 divisors (see below), whose sum is σ = 349964539173216. Its totient is φ = 167765630522880.

The previous prime is 257050312376167. The next prime is 257050312376243. The reversal of 257050312376223 is 322673213050752.

It is not a de Polignac number, because 257050312376223 - 26 = 257050312376159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257050312376243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1768711398 + ... + 1768856723.

It is an arithmetic number, because the mean of its divisors is an integer number (21872783698326).

Almost surely, 2257050312376223 is an apocalyptic number.

257050312376223 is a deficient number, since it is larger than the sum of its proper divisors (92914226796993).

257050312376223 is a wasteful number, since it uses less digits than its factorization.

257050312376223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537568634.

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 257050312376223 in words is "two hundred fifty-seven trillion, fifty billion, three hundred twelve million, three hundred seventy-six thousand, two hundred twenty-three".

Divisors: 1 3 53 159 457 1371 24221 72663 3537568121 10612704363 187491110413 562473331239 1616668631297 4850005893891 85683437458741 257050312376223