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12138642216 = 2332269691907
BaseRepresentation
bin10110100111000010…
…01111101100101000
31011022221222220201100
423103201033230220
5144324443022331
65324301121400
7606543520311
oct132341175450
934287886640
1012138642216
115169a46618
122429259260
1311b5ab7b3c
148321cb608
154b0a09ae6
hex2d384fb28

12138642216 has 96 divisors (see below), whose sum is σ = 33081890400. Its totient is φ = 4020900480.

The previous prime is 12138642203. The next prime is 12138642287. The reversal of 12138642216 is 61224683121.

It is a happy number.

12138642216 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 642 + 2 + 1 + 6 = 666.

12138642216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 13382835 + ... + 13383741.

It is an arithmetic number, because the mean of its divisors is an integer number (344603025).

Almost surely, 212138642216 is an apocalyptic number.

It is an amenable number.

12138642216 is an abundant number, since it is smaller than the sum of its proper divisors (20943248184).

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

12138642216 is a wasteful number, since it uses less digits than its factorization.

12138642216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1872 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 12138642216 in words is "twelve billion, one hundred thirty-eight million, six hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 691 807 907 1076 1382 1614 1814 2073 2152 2421 2721 2764 3228 3628 4146 4842 5442 5528 6219 6456 7256 8163 8292 9684 10884 12438 16326 16584 19368 21768 24876 32652 49752 65304 185879 243983 371758 487966 557637 626737 731949 743516 975932 1115274 1253474 1463898 1487032 1672911 1880211 1951864 2195847 2230548 2506948 2927796 3345822 3760422 4391694 4461096 5013896 5640633 5855592 6691644 7520844 8783388 11281266 13383288 15041688 17566776 22562532 45125064 168592253 337184506 505776759 674369012 1011553518 1348738024 1517330277 2023107036 3034660554 4046214072 6069321108 12138642216