Search a number
-
+
481010437249 is a prime number
BaseRepresentation
bin1101111111111100111…
…01001100110010000001
31200222120102222222022121
412333332131030302001
530340102132442444
61004550111004241
746515613153546
oct6777635146201
91628512888277
10481010437249
11175aa4940991
1279281509681
1336488bc5c04
14193d1204bcd
15c7a395b084
hex6ffe74cc81

481010437249 has 2 divisors, whose sum is σ = 481010437250. Its totient is φ = 481010437248.

The previous prime is 481010437247. The next prime is 481010437301. The reversal of 481010437249 is 942734010184.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356609620224 + 124400817025 = 597168^2 + 352705^2 .

It is a cyclic number.

It is not a de Polignac number, because 481010437249 - 21 = 481010437247 is a prime.

It is a super-3 number, since 3×4810104372493 (a number of 36 digits) contains 333 as substring.

Together with 481010437247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (481010437247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240505218624 + 240505218625.

It is an arithmetic number, because the mean of its divisors is an integer number (240505218625).

Almost surely, 2481010437249 is an apocalyptic number.

It is an amenable number.

481010437249 is a deficient number, since it is larger than the sum of its proper divisors (1).

481010437249 is an equidigital number, since it uses as much as digits as its factorization.

481010437249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 481010437249 in words is "four hundred eighty-one billion, ten million, four hundred thirty-seven thousand, two hundred forty-nine".