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20571104736 = 253572134153
BaseRepresentation
bin10011001010001000…
…100010010111100000
31222002122011101200000
4103022020202113200
5314112200322421
613241130100000
71325525335200
oct231210422740
958078141600
1020571104736
1187a6941506
123ba127a600
131c2aac7330
14dd20aa400
15805e7c226
hex4ca2225e0

20571104736 has 432 divisors, whose sum is σ = 76017103344. Its totient is φ = 5424039936.

The previous prime is 20571104707. The next prime is 20571104747. The reversal of 20571104736 is 63740117502.

It is a happy number.

20571104736 is a `hidden beast` number, since 2 + 0 + 571 + 10 + 4 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20571104736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4951236 + ... + 4955388.

It is an arithmetic number, because the mean of its divisors is an integer number (175965517).

Almost surely, 220571104736 is an apocalyptic number.

20571104736 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 20571104736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38008551672).

20571104736 is an abundant number, since it is smaller than the sum of its proper divisors (55445998608).

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

20571104736 is a wasteful number, since it uses less digits than its factorization.

20571104736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 20571104736 in words is "twenty billion, five hundred seventy-one million, one hundred four thousand, seven hundred thirty-six".