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21240654208 = 272916273517
BaseRepresentation
bin10011110010000010…
…101010100110000000
32000211022001000212121
4103302002222212000
5322000101413313
613431404534024
71351235403364
oct236202524600
960738030777
1021240654208
11900a882984
124149551314
132006734657
141056d992a4
15844b3728d
hex4f20aa980

21240654208 has 64 divisors (see below), whose sum is σ = 43813875600. Its totient is φ = 10244892672.

The previous prime is 21240654181. The next prime is 21240654221. The reversal of 21240654208 is 80245604212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6037666 + ... + 6041182.

Almost surely, 221240654208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21240654208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21906937800).

21240654208 is an abundant number, since it is smaller than the sum of its proper divisors (22573221392).

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

21240654208 is a wasteful number, since it uses less digits than its factorization.

21240654208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 21240654208 in words is "twenty-one billion, two hundred forty million, six hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1627 1856 3254 3517 3712 6508 7034 13016 14068 26032 28136 47183 52064 56272 94366 101993 104128 112544 188732 203986 208256 225088 377464 407972 450176 754928 815944 1509856 1631888 3019712 3263776 5722159 6039424 6527552 11444318 13055104 22888636 45777272 91554544 165942611 183109088 331885222 366218176 663770444 732436352 1327540888 2655081776 5310163552 10620327104 21240654208