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57536072417 is a prime number
BaseRepresentation
bin110101100101011010…
…101100101011100001
312111111210021022112002
4311211122230223201
51420313213304132
642233125413345
74104540355235
oct654532545341
9174453238462
1057536072417
112244568187a
12b19886a255
13556c14a985
142adb5525c5
15176b2a0262
hexd656acae1

57536072417 has 2 divisors, whose sum is σ = 57536072418. Its totient is φ = 57536072416.

The previous prime is 57536072411. The next prime is 57536072453. The reversal of 57536072417 is 71427063575.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31286888161 + 26249184256 = 176881^2 + 162016^2 .

It is a cyclic number.

It is not a de Polignac number, because 57536072417 - 212 = 57536068321 is a prime.

It is not a weakly prime, because it can be changed into another prime (57536072411) 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 as a sum of consecutive naturals, namely, 28768036208 + 28768036209.

It is an arithmetic number, because the mean of its divisors is an integer number (28768036209).

Almost surely, 257536072417 is an apocalyptic number.

It is an amenable number.

57536072417 is a deficient number, since it is larger than the sum of its proper divisors (1).

57536072417 is an equidigital number, since it uses as much as digits as its factorization.

57536072417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234800, while the sum is 47.

The spelling of 57536072417 in words is "fifty-seven billion, five hundred thirty-six million, seventy-two thousand, four hundred seventeen".