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21205164000 = 253532636719
BaseRepresentation
bin10011101111111011…
…010001111111100000
32000201211020221110110
4103233323101333200
5321412010222000
613424100131320
71350324630366
oct235773217740
960654227413
1021205164000
118aa1842629
124139696b40
131ccc289727
14105239b636
15841976850
hex4efed1fe0

21205164000 has 192 divisors, whose sum is σ = 69742632960. Its totient is φ = 5632371200.

The previous prime is 21205163983. The next prime is 21205164049. The reversal of 21205164000 is 46150212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3152641 + ... + 3159359.

It is an arithmetic number, because the mean of its divisors is an integer number (363242880).

Almost surely, 221205164000 is an apocalyptic number.

21205164000 is a gapful number since it is divisible by the number (20) 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 21205164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34871316480).

21205164000 is an abundant number, since it is smaller than the sum of its proper divisors (48537468960).

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

21205164000 is a wasteful number, since it uses less digits than its factorization.

21205164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 21205164000 in words is "twenty-one billion, two hundred five million, one hundred sixty-four thousand".