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57762130721 is a prime number
BaseRepresentation
bin110101110010111001…
…000010101100100001
312112002112122021012212
4311302321002230201
51421244101140341
642311402531505
74113254003321
oct656271025441
9175075567185
1057762130721
1122551242819
12b240506b95
1355a6c29a99
142b1d599281
1517810555eb
hexd72e42b21

57762130721 has 2 divisors, whose sum is σ = 57762130722. Its totient is φ = 57762130720.

The previous prime is 57762130697. The next prime is 57762130757. The reversal of 57762130721 is 12703126775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57494448400 + 267682321 = 239780^2 + 16361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57762130721 is a prime.

It is not a weakly prime, because it can be changed into another prime (57762135721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28881065360 + 28881065361.

It is an arithmetic number, because the mean of its divisors is an integer number (28881065361).

Almost surely, 257762130721 is an apocalyptic number.

It is an amenable number.

57762130721 is a deficient number, since it is larger than the sum of its proper divisors (1).

57762130721 is an equidigital number, since it uses as much as digits as its factorization.

57762130721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 41.

The spelling of 57762130721 in words is "fifty-seven billion, seven hundred sixty-two million, one hundred thirty thousand, seven hundred twenty-one".