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12533005512 = 23321723101027
BaseRepresentation
bin10111010110000011…
…00111110011001000
31012100110001122110100
423223001213303020
5201131422134022
65431345445400
7622402534446
oct135301476310
935313048410
1012533005512
1153516115a5
122519340860
1312497048c1
1486c725b96
154d54581ac
hex2eb067cc8

12533005512 has 48 divisors (see below), whose sum is σ = 33963593040. Its totient is φ = 4175202528.

The previous prime is 12533005451. The next prime is 12533005517. The reversal of 12533005512 is 21550033521.

It is a happy number.

12533005512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12533005517) by changing a digit.

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, 73543 + ... + 174569.

It is an arithmetic number, because the mean of its divisors is an integer number (707574855).

Almost surely, 212533005512 is an apocalyptic number.

12533005512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12533005512 is an abundant number, since it is smaller than the sum of its proper divisors (21430587528).

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

12533005512 is a wasteful number, since it uses less digits than its factorization.

12533005512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102762 (or 102755 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 12533005512 in words is "twelve billion, five hundred thirty-three million, five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1723 3446 5169 6892 10338 13784 15507 20676 31014 41352 62028 101027 124056 202054 303081 404108 606162 808216 909243 1212324 1818486 2424648 3636972 7273944 174069521 348139042 522208563 696278084 1044417126 1392556168 1566625689 2088834252 3133251378 4177668504 6266502756 12533005512