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168993008953 is a prime number
BaseRepresentation
bin1001110101100011000…
…1001010110100111001
3121011012102011100002121
42131120301022310321
510232044202241303
6205345002401241
715131542606126
oct2353061126471
9534172140077
10168993008953
116574016996a
1228903500221
1312c2243cab2
14827202974d
1545e12379bd
hex2758c4ad39

168993008953 has 2 divisors, whose sum is σ = 168993008954. Its totient is φ = 168993008952.

The previous prime is 168993008887. The next prime is 168993008963. The reversal of 168993008953 is 359800399861.

168993008953 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., 134258486569 + 34734522384 = 366413^2 + 186372^2 .

It is a cyclic number.

It is not a de Polignac number, because 168993008953 - 233 = 160403074361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 168993008891 and 168993008900.

It is not a weakly prime, because it can be changed into another prime (168993008963) 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, 84496504476 + 84496504477.

It is an arithmetic number, because the mean of its divisors is an integer number (84496504477).

Almost surely, 2168993008953 is an apocalyptic number.

It is an amenable number.

168993008953 is a deficient number, since it is larger than the sum of its proper divisors (1).

168993008953 is an equidigital number, since it uses as much as digits as its factorization.

168993008953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 168993008953 in words is "one hundred sixty-eight billion, nine hundred ninety-three million, eight thousand, nine hundred fifty-three".