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13346718784 = 267220632
BaseRepresentation
bin11000110111000011…
…01100010001000000
31021110011012120012221
430123201230101000
5204313230000114
610044214300424
7651513144400
oct143341542100
937404176187
1013346718784
115729969403
122705957714
131349179549
14908820800
15531add524
hex31b86c440

13346718784 has 63 divisors (see below), whose sum is σ = 30823900887. Its totient is φ = 5717249664.

The previous prime is 13346718779. The next prime is 13346718797. The reversal of 13346718784 is 48781764331.

The square root of 13346718784 is 115528.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 6468537 + ... + 6470599.

Almost surely, 213346718784 is an apocalyptic number.

13346718784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13346718784 is the 115528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13346718784

13346718784 is an abundant number, since it is smaller than the sum of its proper divisors (17477182103).

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

13346718784 is an frugal number, since it uses more digits than its factorization.

13346718784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 2072 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

It can be divided in two parts, 133467 and 18784, that added together give a palindrome (152251).

The spelling of 13346718784 in words is "thirteen billion, three hundred forty-six million, seven hundred eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2063 3136 4126 8252 14441 16504 28882 33008 57764 66016 101087 115528 132032 202174 231056 404348 462112 808696 924224 1617392 3234784 4255969 6469568 8511938 17023876 29791783 34047752 59583566 68095504 119167132 136191008 208542481 238334264 272382016 417084962 476668528 834169924 953337056 1668339848 1906674112 3336679696 6673359392 13346718784