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19192075000 = 23557215667
BaseRepresentation
bin10001110111111011…
…111101001011111000
31211112112021102111121
4101313323331023320
5303301132400000
612452224435024
71246411642300
oct216773751370
954475242447
1019192075000
11815947600a
123877478a74
131a6b1ab7c7
14d00c96600
15774d7ab1a
hex477efd2f8

19192075000 has 144 divisors (see below), whose sum is σ = 52325322840. Its totient is φ = 6579720000.

The previous prime is 19192074929. The next prime is 19192075033. The reversal of 19192075000 is 57029191.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1217167 + ... + 1232833.

Almost surely, 219192075000 is an apocalyptic number.

19192075000 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 19192075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26162661420).

19192075000 is an abundant number, since it is smaller than the sum of its proper divisors (33133247840).

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

19192075000 is an equidigital number, since it uses as much as digits as its factorization.

19192075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The spelling of 19192075000 in words is "nineteen billion, one hundred ninety-two million, seventy-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 625 700 875 980 1000 1225 1250 1400 1750 1960 2450 2500 3125 3500 4375 4900 5000 6125 6250 7000 8750 9800 12250 12500 15667 17500 21875 24500 25000 30625 31334 35000 43750 49000 61250 62668 78335 87500 109669 122500 125336 153125 156670 175000 219338 245000 306250 313340 391675 438676 548345 612500 626680 767683 783350 877352 1096690 1225000 1535366 1566700 1958375 2193380 2741725 3070732 3133400 3838415 3916750 4386760 5483450 6141464 7676830 7833500 9791875 10966900 13708625 15353660 15667000 19192075 19583750 21933800 27417250 30707320 38384150 39167500 48959375 54834500 68543125 76768300 78335000 95960375 97918750 109669000 137086250 153536600 191920750 195837500 274172500 342715625 383841500 391675000 479801875 548345000 685431250 767683000 959603750 1370862500 1919207500 2399009375 2741725000 3838415000 4798018750 9596037500 19192075000