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27834347381 is a prime number
BaseRepresentation
bin11001111011000011…
…100110111101110101
32122211211020100110212
4121323003212331311
5424001043104011
620441550355205
72003522022551
oct317303467565
978754210425
1027834347381
1110893844185
1254897bbb05
1328177cb449
1414c098c861
15acd94408b
hex67b0e6f75

27834347381 has 2 divisors, whose sum is σ = 27834347382. Its totient is φ = 27834347380.

The previous prime is 27834347357. The next prime is 27834347417. The reversal of 27834347381 is 18374343872.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26887800625 + 946546756 = 163975^2 + 30766^2 .

It is a cyclic number.

It is not a de Polignac number, because 27834347381 - 210 = 27834346357 is a prime.

It is a super-2 number, since 2×278343473812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27834347311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13917173690 + 13917173691.

It is an arithmetic number, because the mean of its divisors is an integer number (13917173691).

Almost surely, 227834347381 is an apocalyptic number.

It is an amenable number.

27834347381 is a deficient number, since it is larger than the sum of its proper divisors (1).

27834347381 is an equidigital number, since it uses as much as digits as its factorization.

27834347381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2709504, while the sum is 50.

The spelling of 27834347381 in words is "twenty-seven billion, eight hundred thirty-four million, three hundred forty-seven thousand, three hundred eighty-one".