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12919987296 = 253512892
BaseRepresentation
bin11000000100001011…
…10101110001100000
31020100102020100200000
430002011311301200
5202430004043141
65534012100000
7635112036306
oct140205656140
936312210600
1012919987296
11552aaa5757
122606a64600
1312ab9388c8
148a7c9c276
155093e95b6
hex302175c60

12919987296 has 108 divisors (see below), whose sum is σ = 38131581852. Its totient is φ = 4303321344.

The previous prime is 12919987261. The next prime is 12919987313. The reversal of 12919987296 is 69278991921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 10022620 + ... + 10023908.

Almost surely, 212919987296 is an apocalyptic number.

12919987296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12919987296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065790926).

12919987296 is an abundant number, since it is smaller than the sum of its proper divisors (25211594556).

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

12919987296 is an frugal number, since it uses more digits than its factorization.

12919987296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 1294 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 12919987296 in words is "twelve billion, nine hundred nineteen million, nine hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1289 1296 1944 2578 2592 3867 3888 5156 7734 7776 10312 11601 15468 20624 23202 30936 34803 41248 46404 61872 69606 92808 104409 123744 139212 185616 208818 278424 313227 371232 417636 556848 626454 835272 1113696 1252908 1661521 1670544 2505816 3323042 3341088 4984563 5011632 6646084 9969126 10023264 13292168 14953689 19938252 26584336 29907378 39876504 44861067 53168672 59814756 79753008 89722134 119629512 134583201 159506016 179444268 239259024 269166402 358888536 403749603 478518048 538332804 717777072 807499206 1076665608 1435554144 1614998412 2153331216 3229996824 4306662432 6459993648 12919987296