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19019786040 = 2333525170163
BaseRepresentation
bin10001101101101010…
…101110011100111000
31211002112002020111000
4101231222232130320
5302423031123130
612423152005000
71242220341153
oct215552563470
954075066430
1019019786040
11808019a842
123829830760
131a415a7688
14cc6048c9a
15764b97260
hex46daae738

19019786040 has 128 divisors (see below), whose sum is σ = 63652780800. Its totient is φ = 5051664000.

The previous prime is 19019786017. The next prime is 19019786047. The reversal of 19019786040 is 4068791091.

It is a happy number.

It is a super-2 number, since 2×190197860402 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19019786047) by changing a digit.

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, 235999 + ... + 306161.

It is an arithmetic number, because the mean of its divisors is an integer number (497287350).

Almost surely, 219019786040 is an apocalyptic number.

19019786040 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 19019786040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31826390400).

19019786040 is an abundant number, since it is smaller than the sum of its proper divisors (44632994760).

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

19019786040 is a wasteful number, since it uses less digits than its factorization.

19019786040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70434 (or 70424 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 19019786040 in words is "nineteen billion, nineteen million, seven hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 251 270 360 502 540 753 1004 1080 1255 1506 2008 2259 2510 3012 3765 4518 5020 6024 6777 7530 9036 10040 11295 13554 15060 18072 22590 27108 30120 33885 45180 54216 67770 70163 90360 135540 140326 210489 271080 280652 350815 420978 561304 631467 701630 841956 1052445 1262934 1403260 1683912 1894401 2104890 2525868 2806520 3157335 3788802 4209780 5051736 6314670 7577604 8419560 9472005 12629340 15155208 17610913 18944010 25258680 35221826 37888020 52832739 70443652 75776040 88054565 105665478 140887304 158498217 176109130 211330956 264163695 316996434 352218260 422661912 475494651 528327390 633992868 704436520 792491085 950989302 1056654780 1267985736 1584982170 1901978604 2113309560 2377473255 3169964340 3803957208 4754946510 6339928680 9509893020 19019786040