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83727025841 is a prime number
BaseRepresentation
bin100110111111010000…
…1010000011010110001
322000010002011121022002
41031332201100122301
52332433104311331
6102244052423345
76022555656104
oct1157641203261
9260102147262
1083727025841
11325657a5828
1214288017b55
137b8432ba54
1440a3b5273b
1522a07c29cb
hex137e8506b1

83727025841 has 2 divisors, whose sum is σ = 83727025842. Its totient is φ = 83727025840.

The previous prime is 83727025829. The next prime is 83727025843. The reversal of 83727025841 is 14852072738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61142947441 + 22584078400 = 247271^2 + 150280^2 .

It is a cyclic number.

It is not a de Polignac number, because 83727025841 - 210 = 83727024817 is a prime.

It is a super-3 number, since 3×837270258413 (a number of 34 digits) contains 333 as substring.

Together with 83727025843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83727025843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41863512920 + 41863512921.

It is an arithmetic number, because the mean of its divisors is an integer number (41863512921).

Almost surely, 283727025841 is an apocalyptic number.

It is an amenable number.

83727025841 is a deficient number, since it is larger than the sum of its proper divisors (1).

83727025841 is an equidigital number, since it uses as much as digits as its factorization.

83727025841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 83727025841 in words is "eighty-three billion, seven hundred twenty-seven million, twenty-five thousand, eight hundred forty-one".