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12057476680 = 235535779857
BaseRepresentation
bin10110011101010111…
…00111111001001000
31011010022021021112101
423032223213321020
5144143203223210
65312241323144
7604536601144
oct131653477110
934108237471
1012057476680
115128149767
1224060364b4
1311a203a0b2
14825500224
154a8825a3a
hex2ceae7e48

12057476680 has 64 divisors (see below), whose sum is σ = 27691910640. Its totient is φ = 4723310592.

The previous prime is 12057476671. The next prime is 12057476687. The reversal of 12057476680 is 8667475021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9706584484 + 2350892196 = 98522^2 + 48486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12057476680.

It is not an unprimeable number, because it can be changed into a prime (12057476687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218312 + ... + 1228168.

Almost surely, 212057476680 is an apocalyptic number.

12057476680 is a gapful number since it is divisible by the number (10) 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 12057476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845955320).

12057476680 is an abundant number, since it is smaller than the sum of its proper divisors (15634433960).

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

12057476680 is a wasteful number, since it uses less digits than its factorization.

12057476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 12057476680 in words is "twelve billion, fifty-seven million, four hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 577 1060 1154 2120 2308 2885 4616 5770 9857 11540 19714 23080 30581 39428 49285 61162 78856 98570 122324 152905 197140 244648 305810 394280 522421 611620 1044842 1223240 2089684 2612105 4179368 5224210 5687489 10448420 11374978 20896840 22749956 28437445 45499912 56874890 113749780 227499560 301436917 602873834 1205747668 1507184585 2411495336 3014369170 6028738340 12057476680