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12005053144 = 2371791197631
BaseRepresentation
bin10110010111000111…
…01001001011011000
31010222122121212221221
423023203221023120
5144041243200034
65303125541424
7603332160640
oct131343511330
933878555857
1012005053144
1151005a3127
1223b0574874
131194213856
1481c575520
154a3e1cbb4
hex2cb8e92d8

12005053144 has 32 divisors (see below), whose sum is σ = 25868851200. Its totient is φ = 5116275360.

The previous prime is 12005053139. The next prime is 12005053153. The reversal of 12005053144 is 44135050021.

It is a happy number.

12005053144 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, 588792 + ... + 608839.

It is an arithmetic number, because the mean of its divisors is an integer number (808401600).

Almost surely, 212005053144 is an apocalyptic number.

12005053144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12005053144 is an abundant number, since it is smaller than the sum of its proper divisors (13863798056).

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

12005053144 is a wasteful number, since it uses less digits than its factorization.

12005053144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197823 (or 1197819 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 12005053144 in words is "twelve billion, five million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 179 358 716 1253 1432 2506 5012 10024 1197631 2395262 4790524 8383417 9581048 16766834 33533668 67067336 214375949 428751898 857503796 1500631643 1715007592 3001263286 6002526572 12005053144