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57941785521 = 321924121032
BaseRepresentation
bin110101111101100110…
…010111101110110001
312112120001200200021100
4311331212113232301
51422131044114041
642341301315013
74120565023254
oct657546275661
9175501620240
1057941785521
112263369a064
12b290705a69
13560520c7b9
142b393a309b
151791be16b6
hexd7d997bb1

57941785521 has 81 divisors (see below), whose sum is σ = 91424945547. Its totient is φ = 35355631680.

The previous prime is 57941785519. The next prime is 57941785529. The reversal of 57941785521 is 12558714975.

The square root of 57941785521 is 240711.

It is a perfect power (a square), and thus also a powerful number.

57941785521 is a `hidden beast` number, since 5 + 7 + 9 + 41 + 78 + 5 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2791959921 + 55149825600 = 52839^2 + 234840^2 .

It is not a de Polignac number, because 57941785521 - 21 = 57941785519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57941785529) 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 80 ways as a sum of consecutive naturals, for example, 562541556 + ... + 562541658.

Almost surely, 257941785521 is an apocalyptic number.

57941785521 is the 240711-st square number.

57941785521 is the 120356-th centered octagonal number.

It is an amenable number.

57941785521 is a deficient number, since it is larger than the sum of its proper divisors (33483160026).

57941785521 is a wasteful number, since it uses less digits than its factorization.

57941785521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 57941785521 in words is "fifty-seven billion, nine hundred forty-one million, seven hundred eighty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 19 41 57 103 123 171 309 361 369 779 927 1083 1681 1957 2337 3249 4223 5043 5871 7011 10609 12669 14801 15129 17613 31827 31939 37183 38007 44403 80237 95481 95817 111549 133209 173143 201571 240711 287451 334647 434969 519429 604713 606841 722133 1304907 1524503 1558287 1814139 1820523 3289717 3829849 3914721 4573509 5461569 8264411 9869151 11489547 13720527 17833729 24793233 29607453 34468641 53501187 62504623 74379699 157023809 160503561 187513869 338840851 471071427 562541607 1016522553 1413214281 3049567659 6437976169 19313928507 57941785521