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21940161280 = 28575722643
BaseRepresentation
bin10100011011101111…
…000100101100000000
32002122001021200011221
4110123233010230000
5324413140130110
614025033444424
71404461202532
oct243357045400
962561250157
1021940161280
1193397159a4
124303870714
1320b863056b
1410c1c45852
1588625d7da
hex51bbc4b00

21940161280 has 72 divisors (see below), whose sum is σ = 52625290032. Its totient is φ = 8764084224.

The previous prime is 21940161211. The next prime is 21940161283. The reversal of 21940161280 is 8216104912.

It is a happy number.

It is a super-2 number, since 2×219401612802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21940161283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957639 + ... + 980281.

It is an arithmetic number, because the mean of its divisors is an integer number (730906806).

Almost surely, 221940161280 is an apocalyptic number.

21940161280 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 21940161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26312645016).

21940161280 is an abundant number, since it is smaller than the sum of its proper divisors (30685128752).

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

21940161280 is an equidigital number, since it uses as much as digits as its factorization.

21940161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23421 (or 23407 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 21940161280 in words is "twenty-one billion, nine hundred forty million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 757 1280 1514 3028 3785 6056 7570 12112 15140 22643 24224 30280 45286 48448 60560 90572 96896 113215 121120 181144 193792 226430 242240 362288 452860 484480 724576 905720 968960 1449152 1811440 2898304 3622880 5796608 7245760 14491520 17140751 28983040 34281502 68563004 85703755 137126008 171407510 274252016 342815020 548504032 685630040 1097008064 1371260080 2194016128 2742520160 4388032256 5485040320 10970080640 21940161280