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13543961805 = 3451119160009
BaseRepresentation
bin11001001110100100…
…00111010011001101
31021221220100112210000
430213102013103031
5210214223234210
610115542034513
7656426530053
oct144722072315
937856315700
1013543961805
115820238a70
12275ba18a39
13137aca99aa
14926ac61d3
155440a0ac0
hex3274874cd

13543961805 has 80 divisors (see below), whose sum is σ = 27880142400. Its totient is φ = 6221111040.

The previous prime is 13543961803. The next prime is 13543961819. The reversal of 13543961805 is 50816934531.

13543961805 is a `hidden beast` number, since 1 + 3 + 543 + 96 + 18 + 0 + 5 = 666.

13543961805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13543961805 - 21 = 13543961803 is a prime.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13543961803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4641 + ... + 164649.

It is an arithmetic number, because the mean of its divisors is an integer number (348501780).

Almost surely, 213543961805 is an apocalyptic number.

13543961805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13543961805 is an abundant number, since it is smaller than the sum of its proper divisors (14336180595).

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

13543961805 is a wasteful number, since it uses less digits than its factorization.

13543961805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160056 (or 160047 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13543961805 in words is "thirteen billion, five hundred forty-three million, nine hundred sixty-one thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 135 165 171 209 285 297 405 495 513 627 855 891 1045 1485 1539 1881 2565 3135 4455 5643 7695 9405 16929 28215 84645 160009 480027 800045 1440081 1760099 2400135 3040171 4320243 5280297 7200405 8800495 9120513 12960729 15200855 15840891 21601215 26401485 27361539 33441881 45602565 47522673 64803645 79204455 82084617 100325643 136807695 142568019 167209405 237613365 246253851 300976929 410423085 501628215 712840095 902930787 1231269255 1504884645 2708792361 4514653935 13543961805