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21843934848 = 273517109379
BaseRepresentation
bin10100010101111111…
…111111111010000000
32002101100012212100000
4110111333333322000
5324214021403343
614011315200000
71402212245151
oct242577777200
962340185300
1021843934848
11929a37161a
1242975a6000
1320a170b548
1410b3157928
1587caa1ed3
hex515fffe80

21843934848 has 384 divisors, whose sum is σ = 69837768000. Its totient is φ = 6772211712.

The previous prime is 21843934793. The next prime is 21843934897. The reversal of 21843934848 is 84843934812.

21843934848 is a `hidden beast` number, since 218 + 43 + 9 + 348 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21843934794 and 21843934803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57635523 + ... + 57635901.

Almost surely, 221843934848 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 21843934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34918884000).

21843934848 is an abundant number, since it is smaller than the sum of its proper divisors (47993833152).

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

21843934848 is a wasteful number, since it uses less digits than its factorization.

21843934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 510 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 21843934848 in words is "twenty-one billion, eight hundred forty-three million, nine hundred thirty-four thousand, eight hundred forty-eight".