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257057660357774 = 21910947016179473
BaseRepresentation
bin111010011100101011100110…
…100010000100110010001110
31020201011110202022212222001222
4322130223212202010302032
5232143113042022422044
62310414354154003342
7105100542313204403
oct7234534642046216
91221143668788058
10257057660357774
11749a75a5879a21
12249b75b6416552
13b058583122773
14476992b2ca2aa
151eab9d654d8ee
hexe9cae6884c8e

257057660357774 has 16 divisors (see below), whose sum is σ = 405880952804880. Its totient is φ = 121764023971200.

The previous prime is 257057660357767. The next prime is 257057660357867. The reversal of 257057660357774 is 477753066750752.

It is a super-2 number, since 2×2570576603577742 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 257057660357698 and 257057660357707.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38508902 + ... + 44688374.

It is an arithmetic number, because the mean of its divisors is an integer number (25367559550305).

Almost surely, 2257057660357774 is an apocalyptic number.

257057660357774 is a deficient number, since it is larger than the sum of its proper divisors (148823292447106).

257057660357774 is a wasteful number, since it uses less digits than its factorization.

257057660357774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274195.

The product of its (nonzero) digits is 1815156000, while the sum is 71.

The spelling of 257057660357774 in words is "two hundred fifty-seven trillion, fifty-seven billion, six hundred sixty million, three hundred fifty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 19 38 1094701 2189402 6179473 12358946 20799319 41598638 117409987 234819974 6764675272573 13529350545146 128528830178887 257057660357774