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12750070176 = 25321725710133
BaseRepresentation
bin10111101111111011…
…01010000110100000
31012220120111200012100
423313331222012200
5202103004221201
65505102130400
7630646544154
oct136775520640
935816450170
1012750070176
11545309a488
122579b80a00
13128268522c
1488d4ab064
154e9533886
hex2f7f6a1a0

12750070176 has 144 divisors (see below), whose sum is σ = 38544020424. Its totient is φ = 3984064512.

The previous prime is 12750070121. The next prime is 12750070199. The reversal of 12750070176 is 67107005721.

12750070176 is a `hidden beast` number, since 12 + 7 + 500 + 70 + 1 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11984994576 + 765075600 = 109476^2 + 27660^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12750070176.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1253206 + ... + 1263338.

Almost surely, 212750070176 is an apocalyptic number.

12750070176 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 12750070176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19272010212).

12750070176 is an abundant number, since it is smaller than the sum of its proper divisors (25793950248).

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

12750070176 is a wasteful number, since it uses less digits than its factorization.

12750070176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

Adding to 12750070176 its reverse (67107005721), we get a palindrome (79857075897).

The spelling of 12750070176 in words is "twelve billion, seven hundred fifty million, seventy thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 257 272 288 306 408 514 544 612 771 816 1028 1224 1542 1632 2056 2313 2448 3084 4112 4369 4626 4896 6168 8224 8738 9252 10133 12336 13107 17476 18504 20266 24672 26214 30399 34952 37008 39321 40532 52428 60798 69904 74016 78642 81064 91197 104856 121596 139808 157284 162128 172261 182394 209712 243192 314568 324256 344522 364788 419424 486384 516783 629136 689044 729576 972768 1033566 1258272 1378088 1459152 1550349 2067132 2604181 2756176 2918304 3100698 4134264 5208362 5512352 6201396 7812543 8268528 10416724 12402792 15625086 16537056 20833448 23437629 24805584 31250172 41666896 44271077 46875258 49611168 62500344 83333792 88542154 93750516 125000688 132813231 177084308 187501032 250001376 265626462 354168616 375002064 398439693 531252924 708337232 750004128 796879386 1062505848 1416674464 1593758772 2125011696 3187517544 4250023392 6375035088 12750070176