Search a number
-
+
20332564211300 = 225211171790360733
BaseRepresentation
bin1001001111110000010110…
…10001000110011001100100
32122222202220100200212101212
410213320023101012121210
510131112042414230200
6111124352343210552
74165656616125635
oct447701321063144
978882810625355
1020332564211300
116529aa0479260
122344706746a58
13b464777c9913
1450415c1b188c
15253d6b330035
hex127e0b446664

20332564211300 has 144 divisors (see below), whose sum is σ = 50967747355392. Its totient is φ = 6958235289600.

The previous prime is 20332564211287. The next prime is 20332564211363. The reversal of 20332564211300 is 311246523302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334755734 + ... + 334816466.

It is an arithmetic number, because the mean of its divisors is an integer number (353942689968).

Almost surely, 220332564211300 is an apocalyptic number.

20332564211300 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 20332564211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25483873677696).

20332564211300 is an abundant number, since it is smaller than the sum of its proper divisors (30635183144092).

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

20332564211300 is a wasteful number, since it uses less digits than its factorization.

20332564211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78678 (or 78671 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 20332564211300 in words is "twenty trillion, three hundred thirty-two billion, five hundred sixty-four million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 17903 18700 35806 60733 71612 89515 121466 179030 196933 242932 303665 304351 358060 393866 447575 607330 608702 668063 787732 895150 984665 1032461 1214660 1217404 1336126 1518325 1521755 1790300 1969330 2064922 2672252 3036650 3043510 3340315 3347861 3938660 4129844 4923325 5162305 6073300 6087020 6680630 6695722 7608775 9846650 10324610 11357071 13361260 13391444 15217550 16701575 16739305 19693300 20649220 22714142 25811525 30435100 33403150 33478610 45428284 51623050 56785355 66806300 66957220 83696525 103246100 113570710 167393050 227141420 283926775 334786100 567853550 1087302899 1135707100 2174605798 4349211596 5436514495 10873028990 11960331889 18484149283 21746057980 23920663778 27182572475 36968298566 47841327556 54365144950 59801659445 73936597132 92420746415 108730289900 119603318890 184841492830 203325642113 239206637780 299008297225 369682985660 406651284226 462103732075 598016594450 813302568452 924207464150 1016628210565 1196033188900 1848414928300 2033256421130 4066512842260 5083141052825 10166282105650 20332564211300