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86438754000 = 2432534802153
BaseRepresentation
bin101000010000000100…
…1101011011011010000
322021010001202200000100
41100200021223123100
52404011310112000
6103413122252400
76150014200104
oct1204011533320
9267101680010
1086438754000
1133727472285
12149041b7100
1381c7090821
14427dd59904
1523ad8c2a00
hex142026b6d0

86438754000 has 120 divisors (see below), whose sum is σ = 301901817672. Its totient is φ = 23050329600.

The previous prime is 86438753977. The next prime is 86438754001. The reversal of 86438754000 is 45783468.

It can be written as a sum of positive squares in 4 ways, for example, as 23940753984 + 62498000016 = 154728^2 + 249996^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86438754001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383077 + ... + 2419076.

Almost surely, 286438754000 is an apocalyptic number.

86438754000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86438754000 is an abundant number, since it is smaller than the sum of its proper divisors (215463063672).

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

86438754000 is a wasteful number, since it uses less digits than its factorization.

86438754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802182 (or 4802163 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 86438754000 in words is "eighty-six billion, four hundred thirty-eight million, seven hundred fifty-four 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 4802153 9604306 14406459 19208612 24010765 28812918 38417224 43219377 48021530 57625836 72032295 76834448 86438754 96043060 115251672 120053825 144064590 172877508 192086120 216096885 230503344 240107650 288129180 345755016 360161475 384172240 432193770 480215300 576258360 600269125 691510032 720322950 864387540 960430600 1080484425 1152516720 1200538250 1440645900 1728775080 1800807375 1920861200 2160968850 2401076500 2881291800 3457550160 3601614750 4321937700 4802153000 5402422125 5762583600 7203229500 8643875400 9604306000 10804844250 14406459000 17287750800 21609688500 28812918000 43219377000 86438754000