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16842066000 = 2435314918839
BaseRepresentation
bin11111010111101110…
…11000100001010000
31121110202022121012020
433223313120201100
5233443032103000
611423115531440
71134235125144
oct175367304120
947422277166
1016842066000
1171629a8511
123320459b80
131785377136
14b5ab2b224
156888cbba0
hex3ebdd8850

16842066000 has 160 divisors (see below), whose sum is σ = 54666144000. Its totient is φ = 4460838400.

The previous prime is 16842065957. The next prime is 16842066019. The reversal of 16842066000 is 66024861.

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 31 ways as a sum of consecutive naturals, for example, 884581 + ... + 903419.

It is an arithmetic number, because the mean of its divisors is an integer number (341663400).

Almost surely, 216842066000 is an apocalyptic number.

16842066000 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 16842066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27333072000).

16842066000 is an abundant number, since it is smaller than the sum of its proper divisors (37824078000).

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

16842066000 is a wasteful number, since it uses less digits than its factorization.

16842066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19014 (or 18998 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 16842066000 in words is "sixteen billion, eight hundred forty-two million, sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 149 150 200 240 250 298 300 375 400 447 500 596 600 745 750 894 1000 1192 1200 1490 1500 1788 2000 2235 2384 2980 3000 3576 3725 4470 5960 6000 7152 7450 8940 11175 11920 14900 17880 18625 18839 22350 29800 35760 37250 37678 44700 55875 56517 59600 74500 75356 89400 94195 111750 113034 149000 150712 178800 188390 223500 226068 282585 298000 301424 376780 447000 452136 470975 565170 753560 894000 904272 941950 1130340 1412925 1507120 1883900 2260680 2354875 2807011 2825850 3767800 4521360 4709750 5614022 5651700 7064625 7535600 8421033 9419500 11228044 11303400 14035055 14129250 16842066 18839000 22456088 22606800 28070110 28258500 33684132 37678000 42105165 44912176 56140220 56517000 67368264 70175275 84210330 112280440 113034000 134736528 140350550 168420660 210525825 224560880 280701100 336841320 350876375 421051650 561402200 673682640 701752750 842103300 1052629125 1122804400 1403505500 1684206600 2105258250 2807011000 3368413200 4210516500 5614022000 8421033000 16842066000