Search a number
-
+
12020559264 = 253272851797
BaseRepresentation
bin10110011000111101…
…10010110110100000
31011000201210200100200
423030132302312200
5144104230344024
65304442145200
7603611032200
oct131436626640
934021720320
1012020559264
1151093240aa
1223b57b2200
1311974b267c
14820650400
154a54822c9
hex2cc7b2da0

12020559264 has 108 divisors (see below), whose sum is σ = 39764486034. Its totient is φ = 3434441472.

The previous prime is 12020559263. The next prime is 12020559301. The reversal of 12020559264 is 46295502021.

12020559264 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 5 + 592 + 64 = 666.

12020559264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11833088400 + 187470864 = 108780^2 + 13692^2 .

It is a super-4 number, since 4×120205592644 (a number of 41 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12020559263) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 411787 + ... + 440010.

Almost surely, 212020559264 is an apocalyptic number.

12020559264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12020559264 is an abundant number, since it is smaller than the sum of its proper divisors (27743926770).

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

12020559264 is a wasteful number, since it uses less digits than its factorization.

12020559264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851827 (or 851809 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12020559264 in words is "twelve billion, twenty million, five hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 851797 1703594 2555391 3407188 5110782 5962579 6814376 7666173 10221564 11925158 13628752 15332346 17887737 20443128 23850316 27257504 30664692 35775474 40886256 41738053 47700632 53663211 61329384 71550948 81772512 83476106 95401264 107326422 122658768 125214159 143101896 166952212 190802528 214652844 245317536 250428318 286203792 333904424 375642477 429305688 500856636 572407584 667808848 751284954 858611376 1001713272 1335617696 1502569908 1717222752 2003426544 3005139816 4006853088 6010279632 12020559264