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6453466461 = 3213411976829
BaseRepresentation
bin1100000001010100…
…00001010101011101
3121122202100001201100
412000222001111131
5101204041411321
62544212103313
7315631363011
oct60052012535
917582301640
106453466461
1128118a4962
121301304b39
137bb00a510
14453130541
1527b85d326
hex180a8155d

6453466461 has 48 divisors (see below), whose sum is σ = 10337286960. Its totient is φ = 3854269440.

The previous prime is 6453466457. The next prime is 6453466463. The reversal of 6453466461 is 1646643546.

It can be written as a sum of positive squares in 8 ways, for example, as 116510436 + 6336956025 = 10794^2 + 79605^2 .

It is not a de Polignac number, because 6453466461 - 22 = 6453466457 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6453466463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941595 + ... + 948423.

It is an arithmetic number, because the mean of its divisors is an integer number (215360145).

Almost surely, 26453466461 is an apocalyptic number.

It is an amenable number.

6453466461 is a deficient number, since it is larger than the sum of its proper divisors (3883820499).

6453466461 is a wasteful number, since it uses less digits than its factorization.

6453466461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7083 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 6453466461 is about 80333.4703657199. The cubic root of 6453466461 is about 1861.7913967376.

The spelling of 6453466461 in words is "six billion, four hundred fifty-three million, four hundred sixty-six thousand, four hundred sixty-one".

Divisors: 1 3 9 13 39 41 117 123 197 369 533 591 1599 1773 2561 4797 6829 7683 8077 20487 23049 24231 61461 72693 88777 105001 266331 279989 315003 798993 839967 945009 1345313 2519901 3639857 4035939 10919571 12107817 17489069 32758713 52467207 55157833 157401621 165473499 496420497 717051829 2151155487 6453466461