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34139740577 is a prime number
BaseRepresentation
bin11111110010111000…
…110001100110100001
310021010020221111212012
4133302320301212201
51024404233144302
623403353042305
72316005002235
oct376270614641
9107106844765
1034139740577
1113529aa2438
1267493b6395
1332b0c32a37
14191c1765c5
15d4c2a3a52
hex7f2e319a1

34139740577 has 2 divisors, whose sum is σ = 34139740578. Its totient is φ = 34139740576.

The previous prime is 34139740553. The next prime is 34139740601. The reversal of 34139740577 is 77504793143.

It is a balanced prime because it is at equal distance from previous prime (34139740553) and next prime (34139740601).

It can be written as a sum of positive squares in only one way, i.e., 33815164321 + 324576256 = 183889^2 + 18016^2 .

It is a cyclic number.

It is not a de Polignac number, because 34139740577 - 26 = 34139740513 is a prime.

It is not a weakly prime, because it can be changed into another prime (34139740517) 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, 17069870288 + 17069870289.

It is an arithmetic number, because the mean of its divisors is an integer number (17069870289).

Almost surely, 234139740577 is an apocalyptic number.

It is an amenable number.

34139740577 is a deficient number, since it is larger than the sum of its proper divisors (1).

34139740577 is an equidigital number, since it uses as much as digits as its factorization.

34139740577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 34139740577 in words is "thirty-four billion, one hundred thirty-nine million, seven hundred forty thousand, five hundred seventy-seven".