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12087759552 = 263117517621
BaseRepresentation
bin10110100000111110…
…01001001011000000
31011012102020210211020
423100133021023000
5144223431301202
65315242345440
7605355155331
oct132037111300
934172223736
1012087759552
115143252730
1224141bb280
1311a83b0a5b
14829544288
154ab3085bc
hex2d07c92c0

12087759552 has 112 divisors (see below), whose sum is σ = 34940711424. Its totient is φ = 3657600000.

The previous prime is 12087759539. The next prime is 12087759553. The reversal of 12087759552 is 25595778021.

It is a super-2 number, since 2×120877595522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12087759495 and 12087759504.

It is not an unprimeable number, because it can be changed into a prime (12087759553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1582302 + ... + 1589922.

Almost surely, 212087759552 is an apocalyptic number.

12087759552 is a gapful number since it is divisible by the number (12) 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 12087759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470355712).

12087759552 is an abundant number, since it is smaller than the sum of its proper divisors (22852951872).

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

12087759552 is a wasteful number, since it uses less digits than its factorization.

12087759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 12087759552 in words is "twelve billion, eighty-seven million, seven hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 751 1056 1502 2112 2253 3004 4506 6008 7621 8261 9012 12016 15242 16522 18024 22863 24032 24783 30484 33044 36048 45726 48064 49566 60968 66088 72096 83831 91452 99132 121936 132176 144192 167662 182904 198264 243872 251493 264352 335324 365808 396528 487744 502986 528704 670648 731616 793056 1005972 1341296 1463232 1586112 2011944 2682592 4023888 5365184 5723371 8047776 11446742 16095552 17170113 22893484 34340226 45786968 62957081 68680452 91573936 125914162 137360904 183147872 188871243 251828324 274721808 366295744 377742486 503656648 549443616 755484972 1007313296 1098887232 1510969944 2014626592 3021939888 4029253184 6043879776 12087759552