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12325000086 = 2327225155673
BaseRepresentation
bin10110111101010000…
…01001001110010110
31011210221122212122200
423132220021032112
5200220200000321
65354555305330
7614265525600
oct133650111626
934727585580
1012325000086
115255160a93
12247b74b246
1312155a6879
1484cc5c170
154c206bd26
hex2dea09396

12325000086 has 72 divisors (see below), whose sum is σ = 31188352104. Its totient is φ = 3507336000.

The previous prime is 12325000049. The next prime is 12325000099. The reversal of 12325000086 is 68000052321.

12325000086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 193546 + ... + 249218.

It is an arithmetic number, because the mean of its divisors is an integer number (433171557).

Almost surely, 212325000086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12325000086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594176052).

12325000086 is an abundant number, since it is smaller than the sum of its proper divisors (18863352018).

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

12325000086 is a wasteful number, since it uses less digits than its factorization.

12325000086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55946 (or 55936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12325000086 in words is "twelve billion, three hundred twenty-five million, eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 251 294 441 502 753 882 1506 1757 2259 3514 4518 5271 10542 12299 15813 24598 31626 36897 55673 73794 110691 111346 167019 221382 334038 389711 501057 779422 1002114 1169133 2338266 2727977 3507399 5455954 7014798 8183931 13973923 16367862 24551793 27947846 41921769 49103586 83843538 97817461 125765307 195634922 251530614 293452383 586904766 684722227 880357149 1369444454 1760714298 2054166681 4108333362 6162500043 12325000086