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20525716224 = 283513171493
BaseRepresentation
bin10011000111011011…
…011001001100000000
31221222110202102100000
4103013123121030000
5314014040404344
613232425200000
71324434465156
oct230733311400
957873672300
1020525716224
118783260442
123b8a030000
131c21594c20
14dca0533d6
15801eb3a69
hex4c76d9300

20525716224 has 432 divisors, whose sum is σ = 70028273952. Its totient is φ = 5940117504.

The previous prime is 20525716217. The next prime is 20525716229. The reversal of 20525716224 is 42261752502.

20525716224 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 571 + 62 + 24 = 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 not an unprimeable number, because it can be changed into a prime (20525716229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747222 + ... + 13748714.

It is an arithmetic number, because the mean of its divisors is an integer number (162102486).

Almost surely, 220525716224 is an apocalyptic number.

20525716224 is a gapful number since it is divisible by the number (24) 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 20525716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35014136976).

20525716224 is an abundant number, since it is smaller than the sum of its proper divisors (49502557728).

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

20525716224 is a wasteful number, since it uses less digits than its factorization.

20525716224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20525716224 in words is "twenty billion, five hundred twenty-five million, seven hundred sixteen thousand, two hundred twenty-four".