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16081812000 = 253253446717
BaseRepresentation
bin11101111101000110…
…01111101000100000
31112111202202200202200
432332203033220200
5230413420441000
611215441013200
71106344101162
oct167643175040
945452680680
1016081812000
116902844421
123149924200
1316939cc2b7
14ac7b8a932
15641ca6500
hex3be8cfa20

16081812000 has 144 divisors (see below), whose sum is σ = 57074478552. Its totient is φ = 4288473600.

The previous prime is 16081811969. The next prime is 16081812001. The reversal of 16081812000 is 21818061.

It can be written as a sum of positive squares in 4 ways, for example, as 5434048656 + 10647763344 = 73716^2 + 103188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (16081812001) 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, 187359 + ... + 259358.

Almost surely, 216081812000 is an apocalyptic number.

16081812000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16081812000 is an abundant number, since it is smaller than the sum of its proper divisors (40992666552).

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

16081812000 is a wasteful number, since it uses less digits than its factorization.

16081812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446748 (or 446727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 16081812000 in words is "sixteen billion, eighty-one million, eight hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 446717 893434 1340151 1786868 2233585 2680302 3573736 4020453 4467170 5360604 6700755 7147472 8040906 8934340 10721208 11167925 13401510 14294944 16081812 17868680 20102265 21442416 22335850 26803020 32163624 33503775 35737360 40204530 42884832 44671700 53606040 55839625 64327248 67007550 71474720 80409060 89343400 100511325 107212080 111679250 128654496 134015100 160818120 167518875 178686800 201022650 214424160 223358500 268030200 321636240 335037750 357373600 402045300 446717000 502556625 536060400 643272480 670075500 804090600 893434000 1005113250 1072120800 1340151000 1608181200 1786868000 2010226500 2680302000 3216362400 4020453000 5360604000 8040906000 16081812000