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20199586000 = 2453117191277
BaseRepresentation
bin10010110011111111…
…010011100011010000
31221010202002021202211
4102303333103203100
5312332043223000
613140215121504
71313364435166
oct226377234320
957122067684
1020199586000
118626159a30
123ab8973294
131b9bb48669
14d989db236
157d35427ba
hex4b3fd38d0

20199586000 has 160 divisors (see below), whose sum is σ = 53398725120. Its totient is φ = 7329344000.

The previous prime is 20199585953. The next prime is 20199586051. The reversal of 20199586000 is 68599102.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15817362 + ... + 15818638.

It is an arithmetic number, because the mean of its divisors is an integer number (333742032).

Almost surely, 220199586000 is an apocalyptic number.

20199586000 is a gapful number since it is divisible by the number (20) 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 20199586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26699362560).

20199586000 is an abundant number, since it is smaller than the sum of its proper divisors (33199139120).

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

20199586000 is a wasteful number, since it uses less digits than its factorization.

20199586000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 20199586000 in words is "twenty billion, one hundred ninety-nine million, five hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 719 880 1000 1100 1277 1375 1438 2000 2200 2554 2750 2876 3595 4400 5108 5500 5752 6385 7190 7909 10216 11000 11504 12770 14047 14380 15818 17975 20432 22000 25540 28094 28760 31636 31925 35950 39545 51080 56188 57520 63272 63850 70235 71900 79090 89875 102160 112376 126544 127700 140470 143800 158180 159625 179750 197725 224752 255400 280940 287600 316360 319250 351175 359500 395450 510800 561880 632720 638500 702350 719000 790900 918163 988625 1123760 1277000 1404700 1438000 1581800 1755875 1836326 1977250 2554000 2809400 3163600 3511750 3672652 3954500 4590815 5618800 7023500 7345304 7909000 9181630 10099793 14047000 14690608 15818000 18363260 20199586 22954075 28094000 36726520 40399172 45908150 50498965 73453040 80798344 91816300 100997930 114770375 161596688 183632600 201995860 229540750 252494825 367265200 403991720 459081500 504989650 807983440 918163000 1009979300 1262474125 1836326000 2019958600 2524948250 4039917200 5049896500 10099793000 20199586000