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2135814057 = 321321782601
BaseRepresentation
bin111111101001101…
…1110111110101001
312111211220121002100
41333103132332221
513333232022212
6551533524013
7103633056066
oct17723367651
95454817070
102135814057
119a667a793
124b7343609
1328064a300
1416392dc6d
15c778dbdc
hex7f4defa9

2135814057 has 36 divisors (see below), whose sum is σ = 3537182844. Its totient is φ = 1237017600.

The previous prime is 2135814049. The next prime is 2135814089. The reversal of 2135814057 is 7504185312.

2135814057 is a `hidden beast` number, since 21 + 3 + 581 + 4 + 0 + 57 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 263607696 + 1872206361 = 16236^2 + 43269^2 .

It is not a de Polignac number, because 2135814057 - 23 = 2135814049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2135814047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15444 + ... + 67157.

It is an arithmetic number, because the mean of its divisors is an integer number (98255079).

Almost surely, 22135814057 is an apocalyptic number.

It is an amenable number.

2135814057 is a deficient number, since it is larger than the sum of its proper divisors (1401368787).

2135814057 is a wasteful number, since it uses less digits than its factorization.

2135814057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82650 (or 82634 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2135814057 is about 46214.8683542429. The cubic root of 2135814057 is about 1287.8179679302.

Adding to 2135814057 its reverse (7504185312), we get a palindrome (9639999369).

The spelling of 2135814057 in words is "two billion, one hundred thirty-five million, eight hundred fourteen thousand, fifty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2873 8619 25857 82601 247803 743409 1073813 1404217 3221439 4212651 9664317 12637953 13959569 18254821 41878707 54764463 125636121 164293389 237312673 711938019 2135814057