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57358045173 = 311132231393217
BaseRepresentation
bin110101011010110011…
…100100111111110101
312111001101021121001110
4311122303210333311
51414432124421143
642203325545233
74100246224332
oct653263447765
9174041247043
1057358045173
1122364137320
12b149115219
1355412b7a00
142ac1a4d989
15175a836533
hexd5ace4ff5

57358045173 has 96 divisors (see below), whose sum is σ = 94976824320. Its totient is φ = 30462981120.

The previous prime is 57358045159. The next prime is 57358045181. The reversal of 57358045173 is 37154085375.

It is not a de Polignac number, because 57358045173 - 217 = 57357914101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57358045103) 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 95 ways as a sum of consecutive naturals, for example, 17828061 + ... + 17831277.

It is an arithmetic number, because the mean of its divisors is an integer number (989341920).

Almost surely, 257358045173 is an apocalyptic number.

It is an amenable number.

57358045173 is a deficient number, since it is larger than the sum of its proper divisors (37618779147).

57358045173 is a wasteful number, since it uses less digits than its factorization.

57358045173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 57358045173 in words is "fifty-seven billion, three hundred fifty-eight million, forty-five thousand, one hundred seventy-three".

Divisors: 1 3 11 13 23 33 39 69 139 143 169 253 299 417 429 507 759 897 1529 1807 1859 3197 3217 3289 3887 4587 5421 5577 9591 9651 9867 11661 19877 23491 35167 35387 41561 41821 42757 59631 70473 73991 105501 106161 124683 125463 128271 221973 258401 447163 457171 460031 540293 543673 775203 813901 961883 1341489 1371513 1380093 1620879 1631019 2441703 2885649 4918793 5813119 5943223 5980403 10284749 10580713 12504479 14756379 17439357 17829669 17941209 30854247 31742139 37513437 63944309 75570547 113132239 133701737 137549269 191832927 226711641 339396717 401105211 412647807 831276017 1470719107 1738122581 2493828051 4412157321 5214367743 19119348391 57358045173