Search a number
-
+
20005220505330 = 235555571481483
BaseRepresentation
bin1001000110001110101000…
…00011111101011011110010
32121211110222012202122200000
410203013110003331123302
510110231142422132310
6110314134343410430
74133221004416014
oct443072403753362
977743865678600
1020005220505330
116413191492a55
1222b118ba53a16
13b2163aa29048
144d238771c1b4
1524a5ad3474c0
hex1231d40fd6f2

20005220505330 has 96 divisors (see below), whose sum is σ = 53949745047744. Its totient is φ = 5333761866816.

The previous prime is 20005220505329. The next prime is 20005220505383. The reversal of 20005220505330 is 3350502250002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20005220505294 and 20005220505303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12762769 + ... + 14244251.

It is an arithmetic number, because the mean of its divisors is an integer number (561976510914).

Almost surely, 220005220505330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005220505330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974872523872).

20005220505330 is an abundant number, since it is smaller than the sum of its proper divisors (33944524542414).

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

20005220505330 is a wasteful number, since it uses less digits than its factorization.

20005220505330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487062 (or 1487050 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 20005220505330 its reverse (3350502250002), we get a palindrome (23355722755332).

The spelling of 20005220505330 in words is "twenty trillion, five billion, two hundred twenty million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5557 11114 16671 27785 33342 50013 55570 83355 100026 150039 166710 250065 300078 450117 500130 750195 900234 1350351 1481483 1500390 2250585 2700702 2962966 4444449 4501170 6751755 7407415 8888898 13333347 13503510 14814830 22222245 26666694 40000041 44444490 66666735 80000082 120000123 133333470 200000205 240000246 360000369 400000410 600000615 720000738 1200001230 1800001845 3600003690 8232601031 16465202062 24697803093 41163005155 49395606186 74093409279 82326010310 123489015465 148186818558 222280227837 246978030930 370467046395 444560455674 666840683511 740934092790 1111401139185 1333681367022 2000522050533 2222802278370 3334203417555 4001044101066 6668406835110 10002610252665 20005220505330