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199049926600 = 23527235335749
BaseRepresentation
bin1011100101100001001…
…1001101011111001000
3201000210010112221210201
42321120103031133020
511230123240122400
6231235310421544
720244433313500
oct2713023153710
9630703487721
10199049926600
1177464548a78
12326b15018b4
1315a02542b75
1498c3c4ca00
15529ed5606a
hex2e584cd7c8

199049926600 has 144 divisors (see below), whose sum is σ = 538594852500. Its totient is φ = 68214504960.

The previous prime is 199049926547. The next prime is 199049926627. The reversal of 199049926600 is 6629940991.

199049926600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43812350596 + 155237576004 = 209314^2 + 394002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34620526 + ... + 34626274.

Almost surely, 2199049926600 is an apocalyptic number.

199049926600 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 199049926600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269297426250).

199049926600 is an abundant number, since it is smaller than the sum of its proper divisors (339544925900).

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

199049926600 is a wasteful number, since it uses less digits than its factorization.

199049926600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The spelling of 199049926600 in words is "one hundred ninety-nine billion, forty-nine million, nine hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3533 4900 5749 7066 9800 11498 14132 17665 22996 24731 28264 28745 35330 40243 45992 49462 57490 70660 80486 88325 98924 114980 123655 141320 143725 160972 173117 176650 197848 201215 229960 247310 281701 287450 321944 346234 353300 402430 494620 563402 574900 618275 692468 706600 804860 865585 989240 1006075 1126804 1149800 1236550 1384936 1408505 1609720 1731170 2012150 2253608 2473100 2817010 3462340 4024300 4327925 4946200 5634020 6924680 7042525 8048600 8655850 11268040 14085050 17311700 20311217 28170100 34623400 40622434 56340200 81244868 101556085 142178519 162489736 203112170 284357038 406224340 507780425 568714076 710892595 812448680 995249633 1015560850 1137428152 1421785190 1990499266 2031121700 2843570380 3554462975 3980998532 4062243400 4976248165 5687140760 7108925950 7961997064 9952496330 14217851900 19904992660 24881240825 28435703800 39809985320 49762481650 99524963300 199049926600