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12155331744 = 25344689557
BaseRepresentation
bin10110101001000001…
…11010010010100000
31011101010101211110000
423110200322102200
5144343231103434
65330054540000
7610135420653
oct132440722240
934333354400
1012155331744
115178405716
122432967600
1311b93ac4ba
148344d389a
154b2204b99
hex2d483a4a0

12155331744 has 60 divisors (see below), whose sum is σ = 35748500634. Its totient is φ = 4051776384.

The previous prime is 12155331743. The next prime is 12155331763. The reversal of 12155331744 is 44713355121.

12155331744 is a `hidden beast` number, since 1 + 2 + 1 + 553 + 31 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9553107600 + 2602224144 = 97740^2 + 51012^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12155331699 and 12155331708.

It is not an unprimeable number, because it can be changed into a prime (12155331743) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2342187 + ... + 2347370.

Almost surely, 212155331744 is an apocalyptic number.

It is an amenable number.

12155331744 is an abundant number, since it is smaller than the sum of its proper divisors (23593168890).

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

12155331744 is an equidigital number, since it uses as much as digits as its factorization.

12155331744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689579 (or 4689562 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

Adding to 12155331744 its reverse (44713355121), we get a palindrome (56868686865).

The spelling of 12155331744 in words is "twelve billion, one hundred fifty-five million, three hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4689557 9379114 14068671 18758228 28137342 37516456 42206013 56274684 75032912 84412026 112549368 126618039 150065824 168824052 225098736 253236078 337648104 379854117 450197472 506472156 675296208 759708234 1012944312 1350592416 1519416468 2025888624 3038832936 4051777248 6077665872 12155331744