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249404355197 is a prime number
BaseRepresentation
bin1110100001000110101…
…0000111001001111101
3212211202102021222001122
43220101222013021331
513041240003331242
6310324052520325
724006321016664
oct3502152071175
9784672258048
10249404355197
1196854290518
12404050200a5
131a69885974a
14c0dd67dddb
15674a8abad2
hex3a11a8727d

249404355197 has 2 divisors, whose sum is σ = 249404355198. Its totient is φ = 249404355196.

The previous prime is 249404355181. The next prime is 249404355269. The reversal of 249404355197 is 791553404942.

249404355197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156995043076 + 92409312121 = 396226^2 + 303989^2 .

It is a cyclic number.

It is not a de Polignac number, because 249404355197 - 24 = 249404355181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249404355797) 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, 124702177598 + 124702177599.

It is an arithmetic number, because the mean of its divisors is an integer number (124702177599).

Almost surely, 2249404355197 is an apocalyptic number.

It is an amenable number.

249404355197 is a deficient number, since it is larger than the sum of its proper divisors (1).

249404355197 is an equidigital number, since it uses as much as digits as its factorization.

249404355197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 249404355197 in words is "two hundred forty-nine billion, four hundred four million, three hundred fifty-five thousand, one hundred ninety-seven".