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21915148900 = 2252456148049
BaseRepresentation
bin10100011010001111…
…101010001001100100
32002120022012220122111
4110122033222021210
5324340234231100
614022341410404
71404035456251
oct243217521144
962508186574
1021915148900
119326591807
1242b7409a04
1320b33b3838
1410bc7b4428
15883e6c6ba
hex51a3ea264

21915148900 has 36 divisors (see below), whose sum is σ = 47567289700. Its totient is φ = 8763955200.

The previous prime is 21915148873. The next prime is 21915148993. The reversal of 21915148900 is 984151912.

It can be written as a sum of positive squares in 6 ways, for example, as 4666529344 + 17248619556 = 68312^2 + 131334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432076 + ... + 480124.

Almost surely, 221915148900 is an apocalyptic number.

21915148900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21915148900 is an abundant number, since it is smaller than the sum of its proper divisors (25652140800).

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

21915148900 is a wasteful number, since it uses less digits than its factorization.

21915148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52624 (or 52617 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 21915148900 in words is "twenty-one billion, nine hundred fifteen million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4561 9122 18244 22805 45610 48049 91220 96098 114025 192196 228050 240245 456100 480490 960980 1201225 2402450 4804900 219151489 438302978 876605956 1095757445 2191514890 4383029780 5478787225 10957574450 21915148900