Search a number
-
+
21780218580 = 22352913990053
BaseRepresentation
bin10100010010001100…
…111100001011010100
32002012220022202001020
4110102030330023110
5324101213443310
614001121401140
71400506542351
oct242214741324
962186282036
1021780218580
11926740264a
12427a1991b0
13209145cc03
1410a88cd628
158771b8170
hex51233c2d4

21780218580 has 96 divisors (see below), whose sum is σ = 63542102400. Its totient is φ = 5567374848.

The previous prime is 21780218557. The next prime is 21780218587. The reversal of 21780218580 is 8581208712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21780218587) 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, 196834 + ... + 286886.

It is an arithmetic number, because the mean of its divisors is an integer number (661896900).

Almost surely, 221780218580 is an apocalyptic number.

21780218580 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 21780218580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771051200).

21780218580 is an abundant number, since it is smaller than the sum of its proper divisors (41761883820).

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

21780218580 is a wasteful number, since it uses less digits than its factorization.

21780218580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90233 (or 90231 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 21780218580 in words is "twenty-one billion, seven hundred eighty million, two hundred eighteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 139 145 174 278 290 348 417 435 556 580 695 834 870 1390 1668 1740 2085 2780 4031 4170 8062 8340 12093 16124 20155 24186 40310 48372 60465 80620 90053 120930 180106 241860 270159 360212 450265 540318 900530 1080636 1350795 1801060 2611537 2701590 5223074 5403180 7834611 10446148 12517367 13057685 15669222 25034734 26115370 31338444 37552101 39173055 50069468 52230740 62586835 75104202 78346110 125173670 150208404 156692220 187760505 250347340 363003643 375521010 726007286 751042020 1089010929 1452014572 1815018215 2178021858 3630036430 4356043716 5445054645 7260072860 10890109290 21780218580