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13826446520 = 2352631314301
BaseRepresentation
bin11001110000001111…
…01101010010111000
31022200120220020221212
430320013231102320
5211304032242040
610203552422252
7666426566465
oct147007552270
938616806855
1013826446520
115955739a07
12281a547988
1313c4684303
1495241a66c
1555dc9ed65
hex3381ed4b8

13826446520 has 32 divisors (see below), whose sum is σ = 31227815520. Its totient is φ = 5509545600.

The previous prime is 13826446457. The next prime is 13826446541. The reversal of 13826446520 is 2564462831.

13826446520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138264465202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 646631 + ... + 667670.

It is an arithmetic number, because the mean of its divisors is an integer number (975869235).

Almost surely, 213826446520 is an apocalyptic number.

13826446520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13826446520 is an abundant number, since it is smaller than the sum of its proper divisors (17401369000).

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

13826446520 is a wasteful number, since it uses less digits than its factorization.

13826446520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314575 (or 1314571 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 13826446520 in words is "thirteen billion, eight hundred twenty-six million, four hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2630 5260 10520 1314301 2628602 5257204 6571505 10514408 13143010 26286020 52572040 345661163 691322326 1382644652 1728305815 2765289304 3456611630 6913223260 13826446520