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20263002480 = 2432575983821
BaseRepresentation
bin10010110111110001…
…001110000101110000
31221022011102011211100
4102313301032011300
5312444312034410
613150402244400
71315064451660
oct226761160560
957264364740
1020263002480
118658a33746
123b16056700
131bac0206c6
14da31c81a0
157d8dbc8c0
hex4b7c4e170

20263002480 has 480 divisors, whose sum is σ = 80139870720. Its totient is φ = 4492707840.

The previous prime is 20263002479. The next prime is 20263002569. The reversal of 20263002480 is 8420036202.

20263002480 is a `hidden beast` number, since 2 + 0 + 2 + 630 + 0 + 24 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24680470 + ... + 24681290.

It is an arithmetic number, because the mean of its divisors is an integer number (166958064).

Almost surely, 220263002480 is an apocalyptic number.

20263002480 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 20263002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40069935360).

20263002480 is an abundant number, since it is smaller than the sum of its proper divisors (59876868240).

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

20263002480 is a wasteful number, since it uses less digits than its factorization.

20263002480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20263002480 its reverse (8420036202), we get a palindrome (28683038682).

The spelling of 20263002480 in words is "twenty billion, two hundred sixty-three million, two thousand, four hundred eighty".