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167172617393 is a prime number
BaseRepresentation
bin1001101110110001000…
…0111011010010110001
3120222111112202212022222
42123230100323102301
510214332142224033
6204444213210425
715035456542115
oct2335420732261
9528445685288
10167172617393
1164996647831
1228495930a15
13129c2260322
14813c365745
154536502598
hex26ec43b4b1

167172617393 has 2 divisors, whose sum is σ = 167172617394. Its totient is φ = 167172617392.

The previous prime is 167172617369. The next prime is 167172617407. The reversal of 167172617393 is 393716271761.

167172617393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154662865984 + 12509751409 = 393272^2 + 111847^2 .

It is an emirp because it is prime and its reverse (393716271761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167172617393 - 218 = 167172355249 is a prime.

It is a super-2 number, since 2×1671726173932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (167172617693) 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, 83586308696 + 83586308697.

It is an arithmetic number, because the mean of its divisors is an integer number (83586308697).

Almost surely, 2167172617393 is an apocalyptic number.

It is an amenable number.

167172617393 is a deficient number, since it is larger than the sum of its proper divisors (1).

167172617393 is an equidigital number, since it uses as much as digits as its factorization.

167172617393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2000376, while the sum is 53.

The spelling of 167172617393 in words is "one hundred sixty-seven billion, one hundred seventy-two million, six hundred seventeen thousand, three hundred ninety-three".