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172952385167 is a prime number
BaseRepresentation
bin1010000100010011000…
…0111111011010001111
3121112102100102111012002
42201010300333122033
510313201302311132
6211241521502515
715331631006042
oct2410460773217
9545370374162
10172952385167
1167392126911
12296294a1a3b
1313403809a63
148529c06c59
154773b36262
hex2844c3f68f

172952385167 has 2 divisors, whose sum is σ = 172952385168. Its totient is φ = 172952385166.

The previous prime is 172952385149. The next prime is 172952385173. The reversal of 172952385167 is 761583259271.

172952385167 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 is a cyclic number.

It is not a de Polignac number, because 172952385167 - 28 = 172952384911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172952385467) 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, 86476192583 + 86476192584.

It is an arithmetic number, because the mean of its divisors is an integer number (86476192584).

Almost surely, 2172952385167 is an apocalyptic number.

172952385167 is a deficient number, since it is larger than the sum of its proper divisors (1).

172952385167 is an equidigital number, since it uses as much as digits as its factorization.

172952385167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6350400, while the sum is 56.

The spelling of 172952385167 in words is "one hundred seventy-two billion, nine hundred fifty-two million, three hundred eighty-five thousand, one hundred sixty-seven".