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13284038096 = 247907130769
BaseRepresentation
bin11000101111100101…
…00101010111010000
31021021210021001110222
430113302211113100
5204201203204341
610034055012212
7650122314020
oct142762452720
937253231428
1013284038096
1156a754748a
1226a896a068
1313391a1394
14900385a80
1552b35b44b
hex317ca55d0

13284038096 has 40 divisors (see below), whose sum is σ = 29447311680. Its totient is φ = 5686838784.

The previous prime is 13284038083. The next prime is 13284038107. The reversal of 13284038096 is 69083048231.

13284038096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 36200 + ... + 166968.

It is an arithmetic number, because the mean of its divisors is an integer number (736182792).

Almost surely, 213284038096 is an apocalyptic number.

13284038096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13284038096 is an abundant number, since it is smaller than the sum of its proper divisors (16163273584).

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

13284038096 is a wasteful number, since it uses less digits than its factorization.

13284038096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131691 (or 131685 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 13284038096 in words is "thirteen billion, two hundred eighty-four million, thirty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 907 1814 3628 6349 7256 12698 14512 25396 50792 101584 130769 261538 523076 915383 1046152 1830766 2092304 3661532 7323064 14646128 118607483 237214966 474429932 830252381 948859864 1660504762 1897719728 3321009524 6642019048 13284038096