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6401042825 = 521931326641
BaseRepresentation
bin1011111011000100…
…00010100110001001
3121112002200200000012
411331202002212021
5101102131332300
62535100321305
7314423652302
oct57542024611
917462620005
106401042825
112795249241
1212a7843235
137b01b3c08
1444a1a57a9
15276e55435
hex17d882989

6401042825 has 12 divisors (see below), whose sum is σ = 7978424988. Its totient is φ = 5094297600.

The previous prime is 6401042821. The next prime is 6401042839. The reversal of 6401042825 is 5282401046.

It can be written as a sum of positive squares in 6 ways, for example, as 19749136 + 6381293689 = 4444^2 + 79883^2 .

It is not a de Polignac number, because 6401042825 - 22 = 6401042821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6401042791 and 6401042800.

It is not an unprimeable number, because it can be changed into a prime (6401042821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658496 + ... + 668145.

It is an arithmetic number, because the mean of its divisors is an integer number (664868749).

Almost surely, 26401042825 is an apocalyptic number.

It is an amenable number.

6401042825 is a deficient number, since it is larger than the sum of its proper divisors (1577382163).

6401042825 is a wasteful number, since it uses less digits than its factorization.

6401042825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326844 (or 1326839 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 6401042825 is about 80006.5173907726. The cubic root of 6401042825 is about 1856.7363689035.

The spelling of 6401042825 in words is "six billion, four hundred one million, forty-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 193 965 4825 1326641 6633205 33166025 256041713 1280208565 6401042825