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9013986000 = 243253500777
BaseRepresentation
bin10000110010100011…
…01000001011010000
3212021012101221012100
420121101220023100
5121430040023000
64050241000400
7436242421365
oct103121501320
925235357170
109013986000
113906184108
1218b6923100
13b08639236
1461721646c
1537b540a00
hex2194682d0

9013986000 has 120 divisors (see below), whose sum is σ = 31482911304. Its totient is φ = 2403724800.

The previous prime is 9013985999. The next prime is 9013986013. The reversal of 9013986000 is 6893109.

It can be written as a sum of positive squares in 4 ways, for example, as 1551099456 + 7462886544 = 39384^2 + 86388^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232389 + ... + 268388.

Almost surely, 29013986000 is an apocalyptic number.

9013986000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9013986000 is an abundant number, since it is smaller than the sum of its proper divisors (22468925304).

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

9013986000 is a wasteful number, since it uses less digits than its factorization.

9013986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500806 (or 500787 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9013986000 is about 94942.0138821586. The cubic root of 9013986000 is about 2081.1607488172.

The spelling of 9013986000 in words is "nine billion, thirteen million, nine hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 500777 1001554 1502331 2003108 2503885 3004662 4006216 4506993 5007770 6009324 7511655 8012432 9013986 10015540 12018648 12519425 15023310 18027972 20031080 22534965 24037296 25038850 30046620 36055944 37558275 40062160 45069930 50077700 60093240 62597125 72111888 75116550 90139860 100155400 112674825 120186480 125194250 150233100 180279720 187791375 200310800 225349650 250388500 300466200 360559440 375582750 450699300 500777000 563374125 600932400 751165500 901398600 1001554000 1126748250 1502331000 1802797200 2253496500 3004662000 4506993000 9013986000