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13528254690 = 23555567183
BaseRepresentation
bin11001001100101100…
…01100100011100010
31021220210210112200000
430212112030203202
5210201213122230
610114221240430
7656146160526
oct144626144342
937823715600
1013528254690
11581238aa85
122756703116
13137796a542
14924997d86
155429ebb60
hex32658c8e2

13528254690 has 48 divisors (see below), whose sum is σ = 36476189568. Its totient is φ = 3607533936.

The previous prime is 13528254673. The next prime is 13528254697. The reversal of 13528254690 is 9645282531.

13528254690 is a `hidden beast` number, since 13 + 5 + 2 + 8 + 2 + 546 + 90 = 666.

It is a super-2 number, since 2×135282546902 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13528254697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2781162 + ... + 2786021.

It is an arithmetic number, because the mean of its divisors is an integer number (759920616).

Almost surely, 213528254690 is an apocalyptic number.

13528254690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13528254690 is an abundant number, since it is smaller than the sum of its proper divisors (22947934878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13528254690 is an equidigital number, since it uses as much as digits as its factorization.

13528254690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567205 (or 5567193 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13528254690 in words is "thirteen billion, five hundred twenty-eight million, two hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5567183 11134366 16701549 27835915 33403098 50104647 55671830 83507745 100209294 150313941 167015490 250523235 300627882 450941823 501046470 751569705 901883646 1352825469 1503139410 2254709115 2705650938 4509418230 6764127345 13528254690