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12556282320 = 2432556930649
BaseRepresentation
bin10111011000110100…
…11010100111010000
31012102001212020020100
423230122122213100
5201203402013240
65433540412400
7623104432041
oct135432324720
935361766210
1012556282320
11536376a82a
1225250a7100
13125149466a
148718648c8
154d7504e30
hex2ec69a9d0

12556282320 has 120 divisors (see below), whose sum is σ = 42243669000. Its totient is φ = 3342348288.

The previous prime is 12556282309. The next prime is 12556282363. The reversal of 12556282320 is 2328265521.

It is a happy number.

12556282320 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 628 + 2 + 3 + 20 = 666.

12556282320 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 4 ways, for example, as 428986944 + 12127295376 = 20712^2 + 110124^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 394356 + ... + 425004.

It is an arithmetic number, because the mean of its divisors is an integer number (352030575).

Almost surely, 212556282320 is an apocalyptic number.

12556282320 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 12556282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121834500).

12556282320 is an abundant number, since it is smaller than the sum of its proper divisors (29687386680).

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

12556282320 is a wasteful number, since it uses less digits than its factorization.

12556282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31237 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12556282320 in words is "twelve billion, five hundred fifty-six million, two hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 569 720 1138 1707 2276 2845 3414 4552 5121 5690 6828 8535 9104 10242 11380 13656 17070 20484 22760 25605 27312 30649 34140 40968 45520 51210 61298 68280 81936 91947 102420 122596 136560 153245 183894 204840 245192 275841 306490 367788 409680 459735 490384 551682 612980 735576 919470 1103364 1225960 1379205 1471152 1838940 2206728 2451920 2758410 3677880 4413456 5516820 7355760 11033640 17439281 22067280 34878562 52317843 69757124 87196405 104635686 139514248 156953529 174392810 209271372 261589215 279028496 313907058 348785620 418542744 523178430 627814116 697571240 784767645 837085488 1046356860 1255628232 1395142480 1569535290 2092713720 2511256464 3139070580 4185427440 6278141160 12556282320