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13061067705 = 3257291429783
BaseRepresentation
bin11000010101000000…
…00001001110111001
31020201020200222121100
430022200001032321
5203222113131310
610000012002013
7641444146410
oct141240011671
936636628540
1013061067705
1155a26a5534
122646160309
131301c3393a
148bc904477
155169b5ec0
hex30a8013b9

13061067705 has 48 divisors (see below), whose sum is σ = 26765556480. Its totient is φ = 5764881024.

The previous prime is 13061067697. The next prime is 13061067727. The reversal of 13061067705 is 50776016031.

13061067705 is a `hidden beast` number, since 1 + 30 + 610 + 6 + 7 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 13061067705 - 23 = 13061067697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13061067705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705757 + ... + 724026.

It is an arithmetic number, because the mean of its divisors is an integer number (557615760).

Almost surely, 213061067705 is an apocalyptic number.

13061067705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13061067705 is an abundant number, since it is smaller than the sum of its proper divisors (13704488775).

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

13061067705 is a wasteful number, since it uses less digits than its factorization.

13061067705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429830 (or 1429827 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 13061067705 in words is "thirteen billion, sixty-one million, sixty-seven thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 1429783 4289349 7148915 10008481 12868047 21446745 30025443 41463707 50042405 64340235 90076329 124391121 150127215 207318535 290245949 373173363 450381645 621955605 870737847 1451229745 1865866815 2612213541 4353689235 13061067705