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12085327184 = 2472331151339
BaseRepresentation
bin10110100000101011…
…10111010101010000
31011012020200020020112
423100111313111100
5144222320432214
65315114300452
7605325405020
oct132025672520
934166606215
1012085327184
115141941207
122413427728
1311a7a3b898
148290ada80
154aaec7a3e
hex2d0577550

12085327184 has 80 divisors (see below), whose sum is σ = 28824821760. Its totient is φ = 4794387840.

The previous prime is 12085327159. The next prime is 12085327213. The reversal of 12085327184 is 48172358021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187 + ... + 155525.

It is an arithmetic number, because the mean of its divisors is an integer number (360310272).

Almost surely, 212085327184 is an apocalyptic number.

12085327184 is a gapful number since it is divisible by the number (14) 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 12085327184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14412410880).

12085327184 is an abundant number, since it is smaller than the sum of its proper divisors (16739494576).

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

12085327184 is a wasteful number, since it uses less digits than its factorization.

12085327184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151408 (or 151402 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 12085327184 in words is "twelve billion, eighty-five million, three hundred twenty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 1288 1426 1736 2576 2852 3472 4991 5704 9982 11408 19964 39928 79856 151339 302678 605356 1059373 1210712 2118746 2421424 3480797 4237492 4691509 6961594 8474984 9383018 13923188 16949968 18766036 24365579 27846376 32840563 37532072 48731158 55692752 65681126 75064144 97462316 107904707 131362252 194924632 215809414 262724504 389849264 431618828 525449008 755332949 863237656 1510665898 1726475312 3021331796 6042663592 12085327184