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5198948200 = 23521271971039
BaseRepresentation
bin1001101011110000…
…11010011101101000
3111102022201221012001
410311320122131220
541121412320300
62215515300344
7242556221245
oct46570323550
914368657161
105198948200
112228741806
12101114a6b4
1364b138214
1437468c5cc
1520665416a
hex135e1a768

5198948200 has 96 divisors (see below), whose sum is σ = 12256358400. Its totient is φ = 2050755840.

The previous prime is 5198948189. The next prime is 5198948201. The reversal of 5198948200 is 28498915.

It is not an unprimeable number, because it can be changed into a prime (5198948201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5003281 + ... + 5004319.

It is an arithmetic number, because the mean of its divisors is an integer number (127670400).

Almost surely, 25198948200 is an apocalyptic number.

5198948200 is a gapful number since it is divisible by the number (50) 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 5198948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128179200).

5198948200 is an abundant number, since it is smaller than the sum of its proper divisors (7057410200).

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

5198948200 is a wasteful number, since it uses less digits than its factorization.

5198948200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 5198948200 is about 72103.7322196292. The cubic root of 5198948200 is about 1732.3613937936.

The spelling of 5198948200 in words is "five billion, one hundred ninety-eight million, nine hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 197 200 254 394 508 635 788 985 1016 1039 1270 1576 1970 2078 2540 3175 3940 4156 4925 5080 5195 6350 7880 8312 9850 10390 12700 19700 20780 25019 25400 25975 39400 41560 50038 51950 100076 103900 125095 131953 200152 204683 207800 250190 263906 409366 500380 527812 625475 659765 818732 1000760 1023415 1055624 1250950 1319530 1637464 2046830 2501900 2639060 3298825 4093660 5003800 5117075 5278120 6597650 8187320 10234150 13195300 20468300 25994741 26390600 40936600 51989482 103978964 129973705 207957928 259947410 519894820 649868525 1039789640 1299737050 2599474100 5198948200