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21356196576 = 253111310491483
BaseRepresentation
bin10011111000111011…
…011011001011100000
32001010100110012012120
4103320323123023200
5322214141242301
613451053224240
71354140450531
oct237073331340
961110405176
1021356196576
11906a01a640
124180192080
13202465a610
141068474688
1584ed5be36
hex4f8edb2e0

21356196576 has 192 divisors, whose sum is σ = 65967955200. Its totient is φ = 5964042240.

The previous prime is 21356196541. The next prime is 21356196583. The reversal of 21356196576 is 67569165312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14399931 + ... + 14401413.

It is an arithmetic number, because the mean of its divisors is an integer number (343583100).

Almost surely, 221356196576 is an apocalyptic number.

21356196576 is a gapful number since it is divisible by the number (26) 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 21356196576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32983977600).

21356196576 is an abundant number, since it is smaller than the sum of its proper divisors (44611758624).

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

21356196576 is a wasteful number, since it uses less digits than its factorization.

21356196576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The spelling of 21356196576 in words is "twenty-one billion, three hundred fifty-six million, one hundred ninety-six thousand, five hundred seventy-six".