Search a number
-
+
20183819482120 = 2357491415735317
BaseRepresentation
bin1001001011011011010010…
…11000111111010000001000
32122110112222002020201101011
410211231221120333100020
510121142430241411440
6110532152455333304
74152142601602240
oct445555130772010
978415862221334
1020183819482120
116481a009a7708
12231b914381234
13b35431324178
144dac8b41ab20
15250062a579ea
hex125b6963f408

20183819482120 has 128 divisors (see below), whose sum is σ = 52020938914560. Its totient is φ = 6904215843840.

The previous prime is 20183819482109. The next prime is 20183819482129. The reversal of 20183819482120 is 2128491838102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20183819482129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571486702 + ... + 571522018.

It is an arithmetic number, because the mean of its divisors is an integer number (406413585270).

Almost surely, 220183819482120 is an apocalyptic number.

20183819482120 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 20183819482120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26010469457280).

20183819482120 is an abundant number, since it is smaller than the sum of its proper divisors (31837119432440).

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

20183819482120 is a wasteful number, since it uses less digits than its factorization.

20183819482120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39983 (or 39979 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 20183819482120 in words is "twenty trillion, one hundred eighty-three billion, eight hundred nineteen million, four hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491 982 1964 2455 3437 3928 4157 4910 6874 8314 9820 13748 16628 17185 19640 20785 27496 29099 33256 34370 35317 41570 58198 68740 70634 83140 116396 137480 141268 145495 166280 176585 232792 247219 282536 290990 353170 494438 581980 706340 988876 1163960 1236095 1412680 1977752 2041087 2472190 4082174 4944380 8164348 9888760 10205435 14287609 16328696 17340647 20410870 28575218 34681294 40821740 57150436 69362588 71438045 81643480 86703235 114300872 121384529 138725176 142876090 146812769 173406470 242769058 285752180 293625538 346812940 485538116 571504360 587251076 606922645 693625880 734063845 971076232 1027689383 1174502152 1213845290 1468127690 2055378766 2427690580 2936255380 4110757532 4855381160 5138446915 5872510760 8221515064 10276893830 20553787660 41107575320 72085069579 144170139158 288340278316 360425347895 504595487053 576680556632 720850695790 1009190974106 1441701391580 2018381948212 2522977435265 2883402783160 4036763896424 5045954870530 10091909741060 20183819482120