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168167829434953 is a prime number
BaseRepresentation
bin100110001111001010011111…
…101111000111001001001001
3211001102200120011210002202111
4212033022133233013021021
5134020230203313404303
61353355122340302321
750264503404022345
oct4617123757071111
9731380504702674
10168167829434953
1149646637653a77
1216a400759a19a1
1372ab209948a3a
142d7551b486625
1514696702ccb6d
hex98f29fbc7249

168167829434953 has 2 divisors, whose sum is σ = 168167829434954. Its totient is φ = 168167829434952.

The previous prime is 168167829434893. The next prime is 168167829434987. The reversal of 168167829434953 is 359434928761861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94055238411264 + 74112591023689 = 9698208^2 + 8608867^2 .

It is a cyclic number.

It is not a de Polignac number, because 168167829434953 - 29 = 168167829434441 is a prime.

It is a super-2 number, since 2×1681678294349532 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168167829434953.

It is not a weakly prime, because it can be changed into another prime (168167829434993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 84083914717476 + 84083914717477.

It is an arithmetic number, because the mean of its divisors is an integer number (84083914717477).

Almost surely, 2168167829434953 is an apocalyptic number.

It is an amenable number.

168167829434953 is a deficient number, since it is larger than the sum of its proper divisors (1).

168167829434953 is an equidigital number, since it uses as much as digits as its factorization.

168167829434953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1881169920, while the sum is 76.

The spelling of 168167829434953 in words is "one hundred sixty-eight trillion, one hundred sixty-seven billion, eight hundred twenty-nine million, four hundred thirty-four thousand, nine hundred fifty-three".