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12057420457575 = 3252797491913669
BaseRepresentation
bin1010111101110101011001…
…0000110110011001100111
31120200200022100210120120100
42233131112100312121213
53040022044114120300
641351034045435143
72353056055602243
oct257352620663147
946620270716510
1012057420457575
11392958356a519
12142898586bab3
136960188ba5bc
142d9821a37423
1515d993e84700
hexaf756436667

12057420457575 has 72 divisors (see below), whose sum is σ = 21629254701600. Its totient is φ = 6420780276480.

The previous prime is 12057420457561. The next prime is 12057420457619. The reversal of 12057420457575 is 57575402475021.

12057420457575 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 7 + 4 + 20 + 45 + 7 + 575 = 666.

It is not a de Polignac number, because 12057420457575 - 27 = 12057420457447 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 882092841 + ... + 882106509.

It is an arithmetic number, because the mean of its divisors is an integer number (300406315300).

Almost surely, 212057420457575 is an apocalyptic number.

12057420457575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12057420457575 is a deficient number, since it is larger than the sum of its proper divisors (9571834244025).

12057420457575 is a wasteful number, since it uses less digits than its factorization.

12057420457575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19401 (or 19393 counting only the distinct ones).

The product of its (nonzero) digits is 13720000, while the sum is 54.

The spelling of 12057420457575 in words is "twelve trillion, fifty-seven billion, four hundred twenty million, four hundred fifty-seven thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 797 2391 3985 4919 7173 11955 13669 14757 19925 24595 35865 41007 44271 59775 68345 73785 122975 123021 179325 205035 221355 341725 368925 615105 1025175 1106775 3075525 3920443 10894193 11761329 19602215 32682579 35283987 54470965 58806645 67237811 98011075 98047737 163412895 176419935 201713433 272354825 294033225 336189055 490238685 605140299 817064475 882099675 1008567165 1680945275 2451193425 3025701495 5042835825 15128507475 53588535367 160765606101 267942676835 482296818303 803828030505 1339713384175 2411484091515 4019140152525 12057420457575