Search a number
-
+
21066404520 = 2335785329401
BaseRepresentation
bin10011100111101001…
…111101001010101000
32000101011011020020110
4103213221331022220
5321120444421040
613402222054320
71344021324660
oct234751751250
960334136213
1021066404520
118a30488577
1240bb11a3a0
131ca95c4c25
14103bb9b1a0
158346b7980
hex4e7a7d2a8

21066404520 has 128 divisors (see below), whose sum is σ = 72314807040. Its totient is φ = 4809369600.

The previous prime is 21066404509. The next prime is 21066404551. The reversal of 21066404520 is 2540466012.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 701820 + ... + 731220.

It is an arithmetic number, because the mean of its divisors is an integer number (564959430).

Almost surely, 221066404520 is an apocalyptic number.

21066404520 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 21066404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36157403520).

21066404520 is an abundant number, since it is smaller than the sum of its proper divisors (51248402520).

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

21066404520 is a wasteful number, since it uses less digits than its factorization.

21066404520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30275 (or 30271 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 21066404520 in words is "twenty-one billion, sixty-six million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 853 1706 2559 3412 4265 5118 5971 6824 8530 10236 11942 12795 17060 17913 20472 23884 25590 29401 29855 34120 35826 47768 51180 58802 59710 71652 88203 89565 102360 117604 119420 143304 147005 176406 179130 205807 235208 238840 294010 352812 358260 411614 441015 588020 617421 705624 716520 823228 882030 1029035 1176040 1234842 1646456 1764060 2058070 2469684 3087105 3528120 4116140 4939368 6174210 8232280 12348420 24696840 25079053 50158106 75237159 100316212 125395265 150474318 175553371 200632424 250790530 300948636 351106742 376185795 501581060 526660113 601897272 702213484 752371590 877766855 1003162120 1053320226 1404426968 1504743180 1755533710 2106640452 2633300565 3009486360 3511067420 4213280904 5266601130 7022134840 10533202260 21066404520