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12986895000 = 233541750929
BaseRepresentation
bin11000001100001010…
…00100101010011000
31020112002010121210010
430012011010222120
5203044121120000
65544402121520
7636553533432
oct140605045230
936462117703
1012986895000
115564844482
1226253502a0
1312bc763a71
148b2b17652
15510213d50
hex306144a98

12986895000 has 160 divisors (see below), whose sum is σ = 42958436400. Its totient is φ = 3259392000.

The previous prime is 12986894939. The next prime is 12986895037. The reversal of 12986895000 is 59868921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229536 + ... + 280464.

Almost surely, 212986895000 is an apocalyptic number.

12986895000 is a gapful number since it is divisible by the number (10) 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 12986895000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21479218200).

12986895000 is an abundant number, since it is smaller than the sum of its proper divisors (29971541400).

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

12986895000 is a wasteful number, since it uses less digits than its factorization.

12986895000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50975 (or 50956 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 12986895000 in words is "twelve billion, nine hundred eighty-six million, eight hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 625 680 750 850 1000 1020 1250 1275 1500 1700 1875 2040 2125 2500 2550 3000 3400 3750 4250 5000 5100 6375 7500 8500 10200 10625 12750 15000 17000 21250 25500 31875 42500 50929 51000 63750 85000 101858 127500 152787 203716 254645 255000 305574 407432 509290 611148 763935 865793 1018580 1222296 1273225 1527870 1731586 2037160 2546450 2597379 3055740 3463172 3819675 4328965 5092900 5194758 6111480 6366125 6926344 7639350 8657930 10185800 10389516 12732250 12986895 15278700 17315860 19098375 20779032 21644825 25464500 25973790 30557400 31830625 34631720 38196750 43289650 50929000 51947580 63661250 64934475 76393500 86579300 95491875 103895160 108224125 127322500 129868950 152787000 173158600 190983750 216448250 254645000 259737900 324672375 381967500 432896500 519475800 541120625 649344750 763935000 865793000 1082241250 1298689500 1623361875 2164482500 2597379000 3246723750 4328965000 6493447500 12986895000