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87938537257 is a prime number
BaseRepresentation
bin101000111100110001…
…0111001011100101001
322101222120212112212101
41101321202321130221
52420044231143012
6104222020013401
76232125143044
oct1217142713451
9271876775771
1087938537257
113432701467a
1215062531261
1383a5a0823c
144383203c5b
15244a3c7d57
hex14798b9729

87938537257 has 2 divisors, whose sum is σ = 87938537258. Its totient is φ = 87938537256.

The previous prime is 87938537213. The next prime is 87938537299. The reversal of 87938537257 is 75273583978.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59909415696 + 28029121561 = 244764^2 + 167419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87938537257 is a prime.

It is not a weakly prime, because it can be changed into another prime (87938537207) 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, 43969268628 + 43969268629.

It is an arithmetic number, because the mean of its divisors is an integer number (43969268629).

Almost surely, 287938537257 is an apocalyptic number.

It is an amenable number.

87938537257 is a deficient number, since it is larger than the sum of its proper divisors (1).

87938537257 is an equidigital number, since it uses as much as digits as its factorization.

87938537257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88905600, while the sum is 64.

It can be divided in two parts, 8793853 and 7257, that added together give a triangular number (8801110 = T4195).

The spelling of 87938537257 in words is "eighty-seven billion, nine hundred thirty-eight million, five hundred thirty-seven thousand, two hundred fifty-seven".