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12087760248 = 233433015651
BaseRepresentation
bin10110100000111110…
…01001010101111000
31011012102020211210000
423100133021111320
5144223431311443
65315242353000
7605355160344
oct132037112570
934172224700
1012087760248
115143253203
1224141bb760
1311a83b1175
14829544624
154ab3088d3
hex2d07c9578

12087760248 has 80 divisors (see below), whose sum is σ = 33873170760. Its totient is φ = 4027320000.

The previous prime is 12087760231. The next prime is 12087760253. The reversal of 12087760248 is 84206778021.

12087760248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120877602482 (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 2136223 + ... + 2141873.

Almost surely, 212087760248 is an apocalyptic number.

12087760248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12087760248 is an abundant number, since it is smaller than the sum of its proper divisors (21785410512).

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

12087760248 is a wasteful number, since it uses less digits than its factorization.

12087760248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12087760248 in words is "twelve billion, eighty-seven million, seven hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3301 5651 6602 9903 11302 13204 16953 19806 22604 26408 29709 33906 39612 45208 50859 59418 67812 79224 89127 101718 118836 135624 152577 178254 203436 237672 267381 305154 356508 406872 457731 534762 610308 713016 915462 1069524 1220616 1830924 2139048 3661848 18653951 37307902 55961853 74615804 111923706 149231608 167885559 223847412 335771118 447694824 503656677 671542236 1007313354 1343084472 1510970031 2014626708 3021940062 4029253416 6043880124 12087760248