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19880213250 = 2353411494339
BaseRepresentation
bin10010100000111100…
…111111101100000010
31220022111010110201110
4102200330333230002
5311203313311000
613044405544150
71302436011252
oct224074775402
956274113643
1019880213250
118481953507
123a29a15056
131b4a926ac1
14d68423962
157b54a8850
hex4a0f3fb02

19880213250 has 128 divisors (see below), whose sum is σ = 51184224000. Its totient is φ = 5136192000.

The previous prime is 19880213179. The next prime is 19880213273. The reversal of 19880213250 is 5231208891.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19880213199 and 19880213208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4579581 + ... + 4583919.

It is an arithmetic number, because the mean of its divisors is an integer number (399876750).

Almost surely, 219880213250 is an apocalyptic number.

19880213250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19880213250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112000).

19880213250 is an abundant number, since it is smaller than the sum of its proper divisors (31304010750).

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

19880213250 is a wasteful number, since it uses less digits than its factorization.

19880213250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 19880213250 in words is "nineteen billion, eight hundred eighty million, two hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 125 149 150 205 246 250 298 375 410 447 615 745 750 894 1025 1230 1490 2050 2235 3075 3725 4339 4470 5125 6109 6150 7450 8678 10250 11175 12218 13017 15375 18327 18625 21695 22350 26034 30545 30750 36654 37250 43390 55875 61090 65085 91635 108475 111750 130170 152725 177899 183270 216950 305450 325425 355798 458175 533697 542375 646511 650850 763625 889495 916350 1067394 1084750 1293022 1527250 1627125 1778990 1939533 2290875 2668485 3232555 3254250 3879066 4447475 4581750 5336970 6465110 8894950 9697665 13342425 16162775 19395330 22237375 26506951 26684850 32325550 44474750 48488325 53013902 66712125 79520853 80813875 96976650 132534755 133424250 159041706 161627750 242441625 265069510 397604265 484883250 662673775 795208530 1325347550 1988021325 3313368875 3976042650 6626737750 9940106625 19880213250