Search a number
-
+
126815951457 = 33131259286973
BaseRepresentation
bin111011000011011010…
…0011101101001100001
3110010100000120211011000
41312012310131221201
54034204340421312
6134131453542213
712106421541666
oct1660664355141
9403300524130
10126815951457
1149867331358
12206b24a4969
13bc6032c740
1461d0673a6d
153473566adc
hex1d86d1da61

126815951457 has 32 divisors (see below), whose sum is σ = 202488854400. Its totient is φ = 77978327616.

The previous prime is 126815951417. The next prime is 126815951489. The reversal of 126815951457 is 754159518621.

126815951457 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 1 + 595 + 1 + 45 + 7 = 666.

It is not a de Polignac number, because 126815951457 - 211 = 126815949409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126815951417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298423 + ... + 585395.

It is an arithmetic number, because the mean of its divisors is an integer number (6327776700).

Almost surely, 2126815951457 is an apocalyptic number.

It is an amenable number.

126815951457 is a deficient number, since it is larger than the sum of its proper divisors (75672902943).

126815951457 is a wasteful number, since it uses less digits than its factorization.

126815951457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288254 (or 288248 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 126815951457 in words is "one hundred twenty-six billion, eight hundred fifteen million, nine hundred fifty-one thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 27 39 117 351 1259 3777 11331 16367 33993 49101 147303 286973 441909 860919 2582757 3730649 7748271 11191947 33575841 100727523 361299007 1083897021 3251691063 4696887091 9755073189 14090661273 42271983819 126815951457