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13643525025 = 3252134664453
BaseRepresentation
bin11001011010011011…
…11010101110100001
31022012211200212211200
430231031322232201
5210420220300100
610133500031413
7662046022614
oct145515725641
938184625750
1013643525025
115871461319
122789232569
1313957c9740
1493600217b
1554cbbae00
hex32d37aba1

13643525025 has 36 divisors (see below), whose sum is σ = 26316849468. Its totient is φ = 6716810880.

The previous prime is 13643524969. The next prime is 13643525029. The reversal of 13643525025 is 52052534631.

13643525025 is a `hidden beast` number, since 1 + 3 + 643 + 5 + 2 + 5 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4819552929 + 8823972096 = 69423^2 + 93936^2 .

It is not a de Polignac number, because 13643525025 - 213 = 13643516833 is a prime.

It is a super-2 number, since 2×136435250252 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13643525029) 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 in 35 ways as a sum of consecutive naturals, for example, 2329302 + ... + 2335151.

Almost surely, 213643525025 is an apocalyptic number.

13643525025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13643525025 is a deficient number, since it is larger than the sum of its proper divisors (12673324443).

13643525025 is a wasteful number, since it uses less digits than its factorization.

13643525025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664482 (or 4664474 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13643525025 in words is "thirteen billion, six hundred forty-three million, five hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 4664453 13993359 23322265 41980077 60637889 69966795 116611325 181913667 209900385 303189445 349833975 545741001 909568335 1049501925 1515947225 2728705005 4547841675 13643525025