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214418179753 is a prime number
BaseRepresentation
bin1100011110110001010…
…0011100011010101001
3202111110011122002211221
43013230110130122221
512003112023223003
6242300301422041
721330324312331
oct3075424343251
9674404562757
10214418179753
1182a30522038
123568026a921
13172b146639b
14a540d320c1
15589e15c7bd
hex31ec51c6a9

214418179753 has 2 divisors, whose sum is σ = 214418179754. Its totient is φ = 214418179752.

The previous prime is 214418179711. The next prime is 214418179763. The reversal of 214418179753 is 357971814412.

214418179753 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., 153328631184 + 61089548569 = 391572^2 + 247163^2 .

It is a cyclic number.

It is not a de Polignac number, because 214418179753 - 229 = 213881308841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214418179753.

It is not a weakly prime, because it can be changed into another prime (214418179763) 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, 107209089876 + 107209089877.

It is an arithmetic number, because the mean of its divisors is an integer number (107209089877).

Almost surely, 2214418179753 is an apocalyptic number.

It is an amenable number.

214418179753 is a deficient number, since it is larger than the sum of its proper divisors (1).

214418179753 is an equidigital number, since it uses as much as digits as its factorization.

214418179753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1693440, while the sum is 52.

The spelling of 214418179753 in words is "two hundred fourteen billion, four hundred eighteen million, one hundred seventy-nine thousand, seven hundred fifty-three".