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13462468152 = 2337211447677
BaseRepresentation
bin11001000100110110…
…01111011000111000
31021202020000020111120
430202123033120320
5210032342440102
610103511225240
7654420043200
oct144233173070
937666006446
1013462468152
115789237641
122738678220
1313671457b3
14919d51400
1553bd546bc
hex3226cf638

13462468152 has 48 divisors (see below), whose sum is σ = 39151058760. Its totient is φ = 3846419136.

The previous prime is 13462468141. The next prime is 13462468207. The reversal of 13462468152 is 25186426431.

13462468152 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 2×134624681522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 11 ways as a sum of consecutive naturals, for example, 5722663 + ... + 5725014.

Almost surely, 213462468152 is an apocalyptic number.

13462468152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13462468152 is an abundant number, since it is smaller than the sum of its proper divisors (25688590608).

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

13462468152 is a wasteful number, since it uses less digits than its factorization.

13462468152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447700 (or 11447689 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 13462468152 in words is "thirteen billion, four hundred sixty-two million, four hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 11447677 22895354 34343031 45790708 68686062 80133739 91581416 137372124 160267478 240401217 274744248 320534956 480802434 560936173 641069912 961604868 1121872346 1682808519 1923209736 2243744692 3365617038 4487489384 6731234076 13462468152