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13727153240 = 2352089164279
BaseRepresentation
bin11001100100011001…
…11011110001011000
31022102200001122011222
430302030323301120
5211103122400430
610150044311212
7664112606633
oct146214736130
938380048158
1013727153240
115904690449
1227b1242508
1313a9c2a3a8
14943170c1a
155551d99e5
hex33233bc58

13727153240 has 32 divisors (see below), whose sum is σ = 30901068000. Its totient is φ = 5488199424.

The previous prime is 13727153233. The next prime is 13727153249. The reversal of 13727153240 is 4235172731.

It is a happy number.

13727153240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13727153240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727153249) 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 7 ways as a sum of consecutive naturals, for example, 1421 + ... + 165699.

It is an arithmetic number, because the mean of its divisors is an integer number (965658375).

Almost surely, 213727153240 is an apocalyptic number.

13727153240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13727153240 is an abundant number, since it is smaller than the sum of its proper divisors (17173914760).

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

13727153240 is a wasteful number, since it uses less digits than its factorization.

13727153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166379 (or 166375 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 13727153240 in words is "thirteen billion, seven hundred twenty-seven million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2089 4178 8356 10445 16712 20890 41780 83560 164279 328558 657116 821395 1314232 1642790 3285580 6571160 343178831 686357662 1372715324 1715894155 2745430648 3431788310 6863576620 13727153240