Search a number
-
+
6438080025 = 3252132419133
BaseRepresentation
bin1011111111011110…
…10100111000011001
3121121200101100111100
411333233110320121
5101141122030100
62542502222013
7315353530416
oct57757247031
917550340440
106438080025
1128041458a3
1212b8124909
137b7a81010
1445108710d
1527a31e400
hex17fbd4e19

6438080025 has 72 divisors (see below), whose sum is σ = 12471234776. Its totient is φ = 3156019200.

The previous prime is 6438079997. The next prime is 6438080113. The reversal of 6438080025 is 5200808346.

6438080025 is a `hidden beast` number, since 643 + 8 + 0 + 8 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1155116169 + 5282963856 = 33987^2 + 72684^2 .

It is not a de Polignac number, because 6438080025 - 225 = 6404525593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700359 + ... + 709491.

Almost surely, 26438080025 is an apocalyptic number.

6438080025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6438080025 is a deficient number, since it is larger than the sum of its proper divisors (6033154751).

6438080025 is a wasteful number, since it uses less digits than its factorization.

6438080025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6438080025 is about 80237.6471801112. The cubic root of 6438080025 is about 1860.3105837583.

The spelling of 6438080025 in words is "six billion, four hundred thirty-eight million, eighty thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 241 325 585 723 975 1205 2169 2925 3133 3615 6025 9133 9399 10845 15665 18075 27399 28197 45665 46995 54225 78325 82197 118729 136995 140985 228325 234975 356187 410985 593645 684975 704925 1068561 1780935 2054925 2201053 2968225 5342805 6603159 8904675 11005265 19809477 26714025 28613689 33015795 55026325 85841067 99047385 143068445 165078975 257523201 429205335 495236925 715342225 1287616005 2146026675 6438080025