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21065983848 = 23337132194339
BaseRepresentation
bin10011100111101000…
…010110011101101000
32000101010100212012000
4103213220112131220
5321120342440343
613402205051000
71344014623350
oct234750263550
960333325160
1021065983848
118a30220508
1240bab56a60
131ca94a8600
14103bacbb60
15834632ed3
hex4e7a16768

21065983848 has 384 divisors, whose sum is σ = 76245120000. Its totient is φ = 5262236928.

The previous prime is 21065983811. The next prime is 21065983849. The reversal of 21065983848 is 84838956012.

21065983848 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 598 + 3 + 8 + 48 = 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 = 21065983794 and 21065983803.

It is not an unprimeable number, because it can be changed into a prime (21065983849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4852863 + ... + 4857201.

It is an arithmetic number, because the mean of its divisors is an integer number (198555000).

Almost surely, 221065983848 is an apocalyptic number.

21065983848 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 21065983848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38122560000).

21065983848 is an abundant number, since it is smaller than the sum of its proper divisors (55179136152).

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

21065983848 is a wasteful number, since it uses less digits than its factorization.

21065983848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 21065983848 in words is "twenty-one billion, sixty-five million, nine hundred eighty-three thousand, eight hundred forty-eight".