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214339086825037 is a prime number
BaseRepresentation
bin110000101111000010110101…
…001000011011011001001101
31001002220121122111020111000121
4300233002311020123121031
5211043212422211400122
62035510003412024541
763101326245310666
oct6057026510333115
91032817574214017
10214339086825037
1162327772782419
1220058426602151
13927a120b66865
143ad00d23b636d
1519ba6b8da2bc7
hexc2f0b521b64d

214339086825037 has 2 divisors, whose sum is σ = 214339086825038. Its totient is φ = 214339086825036.

The previous prime is 214339086824953. The next prime is 214339086825091. The reversal of 214339086825037 is 730528680933412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196132574410756 + 18206512414281 = 14004734^2 + 4266909^2 .

It is a cyclic number.

It is not a de Polignac number, because 214339086825037 - 219 = 214339086300749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214339086825137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107169543412518 + 107169543412519.

It is an arithmetic number, because the mean of its divisors is an integer number (107169543412519).

It is a 1-persistent number, because it is pandigital, but 2⋅214339086825037 = 428678173650074 is not.

Almost surely, 2214339086825037 is an apocalyptic number.

It is an amenable number.

214339086825037 is a deficient number, since it is larger than the sum of its proper divisors (1).

214339086825037 is an equidigital number, since it uses as much as digits as its factorization.

214339086825037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52254720, while the sum is 61.

Subtracting from 214339086825037 its sum of digits (61), we obtain a square (214339086824976 = 146403242).

The spelling of 214339086825037 in words is "two hundred fourteen trillion, three hundred thirty-nine billion, eighty-six million, eight hundred twenty-five thousand, thirty-seven".