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21941948900 = 2252219419489
BaseRepresentation
bin10100011011110101…
…111001000111100100
32002122011122111100002
4110123311321013210
5324414114331100
614025140040432
71404512326334
oct243365710744
962564574302
1021941948900
11933a726a73
124304393118
1320b8b08121
1410c218d0c4
158864b32d5
hex51bd791e4

21941948900 has 18 divisors (see below), whose sum is σ = 47614029330. Its totient is φ = 8776779520.

The previous prime is 21941948887. The next prime is 21941948911. The reversal of 21941948900 is 984914912.

It can be written as a sum of positive squares in 3 ways, for example, as 6801630784 + 15140318116 = 82472^2 + 123046^2 .

It is a super-2 number, since 2×219419489002 (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 109709645 + ... + 109709844.

Almost surely, 221941948900 is an apocalyptic number.

21941948900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21941948900 is an abundant number, since it is smaller than the sum of its proper divisors (25672080430).

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

21941948900 is a wasteful number, since it uses less digits than its factorization.

21941948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219419503 (or 219419496 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The spelling of 21941948900 in words is "twenty-one billion, nine hundred forty-one million, nine hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 219419489 438838978 877677956 1097097445 2194194890 4388389780 5485487225 10970974450 21941948900