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21908734848 = 2734711132111
BaseRepresentation
bin10100011001110111…
…001100001110000000
32002112212011001020000
4110121313030032000
5324332114003343
614021552120000
71403630113350
oct243167141600
962485131200
1021908734848
119322a00840
1242b5236000
1320b1c79240
1410bb9c4b60
15883601ed3
hex519dcc380

21908734848 has 640 divisors, whose sum is σ = 87582781440. Its totient is φ = 5250355200.

The previous prime is 21908734831. The next prime is 21908734889. The reversal of 21908734848 is 84843780912.

It is a happy number.

21908734848 is a `hidden beast` number, since 2 + 1 + 90 + 8 + 73 + 484 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21908734794 and 21908734803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10377313 + ... + 10379423.

It is an arithmetic number, because the mean of its divisors is an integer number (136848096).

Almost surely, 221908734848 is an apocalyptic number.

21908734848 is a gapful number since it is divisible by the number (28) 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 21908734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43791390720).

21908734848 is an abundant number, since it is smaller than the sum of its proper divisors (65674046592).

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

21908734848 is a wasteful number, since it uses less digits than its factorization.

21908734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 21908734848 in words is "twenty-one billion, nine hundred eight million, seven hundred thirty-four thousand, eight hundred forty-eight".