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6972950185337 is a prime number
BaseRepresentation
bin110010101111000010000…
…1110000000010101111001
3220200121101212222000110202
41211132010032000111321
51403221100221412322
622455155030051545
71316531130430613
oct145360416002571
926617355860422
106972950185337
112249236660214
129474a2aa9bb5
133b7714525b36
141a16c7947db3
15c15b0ac9292
hex65784380579

6972950185337 has 2 divisors, whose sum is σ = 6972950185338. Its totient is φ = 6972950185336.

The previous prime is 6972950185307. The next prime is 6972950185349. The reversal of 6972950185337 is 7335810592796.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6805060039801 + 167890145536 = 2608651^2 + 409744^2 .

It is a cyclic number.

It is not a de Polignac number, because 6972950185337 - 226 = 6972883076473 is a prime.

It is not a weakly prime, because it can be changed into another prime (6972950185307) 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, 3486475092668 + 3486475092669.

It is an arithmetic number, because the mean of its divisors is an integer number (3486475092669).

Almost surely, 26972950185337 is an apocalyptic number.

It is an amenable number.

6972950185337 is a deficient number, since it is larger than the sum of its proper divisors (1).

6972950185337 is an equidigital number, since it uses as much as digits as its factorization.

6972950185337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85730400, while the sum is 65.

The spelling of 6972950185337 in words is "six trillion, nine hundred seventy-two billion, nine hundred fifty million, one hundred eighty-five thousand, three hundred thirty-seven".