Search a number
-
+
57756033901 is a prime number
BaseRepresentation
bin110101110010100001…
…110010001101101101
312112002010011111221201
4311302201302031231
51421241021041101
642311024125501
74113151121326
oct656241621555
9175063144851
1057756033901
1122548859125
12b23a466891
1355a58a39b7
142b1c84d44d
15178074de01
hexd7287236d

57756033901 has 2 divisors, whose sum is σ = 57756033902. Its totient is φ = 57756033900.

The previous prime is 57756033899. The next prime is 57756033947. The reversal of 57756033901 is 10933065775.

It is an a-pointer prime, because the next prime (57756033947) can be obtained adding 57756033901 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44678967876 + 13077066025 = 211374^2 + 114355^2 .

It is a cyclic number.

It is not a de Polignac number, because 57756033901 - 21 = 57756033899 is a prime.

It is a super-2 number, since 2×577560339012 (a number of 22 digits) contains 22 as substring.

Together with 57756033899, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57756036901) 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, 28878016950 + 28878016951.

It is an arithmetic number, because the mean of its divisors is an integer number (28878016951).

Almost surely, 257756033901 is an apocalyptic number.

It is an amenable number.

57756033901 is a deficient number, since it is larger than the sum of its proper divisors (1).

57756033901 is an equidigital number, since it uses as much as digits as its factorization.

57756033901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 595350, while the sum is 46.

The spelling of 57756033901 in words is "fifty-seven billion, seven hundred fifty-six million, thirty-three thousand, nine hundred one".