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20000088960 = 2735293111587
BaseRepresentation
bin10010101000000110…
…010010001110000000
31220121211200210021120
4102220012102032000
5311430010321320
613104331152240
71305422644155
oct225006221600
956554623246
1020000088960
11853358a945
123a61ba5680
131b69709287
14d7a30a22c
157c0c87440
hex4a8192380

20000088960 has 256 divisors, whose sum is σ = 68081817600. Its totient is φ = 4982906880.

The previous prime is 20000088943. The next prime is 20000089003. The reversal of 20000088960 is 6988000002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720287 + ... + 1731873.

It is an arithmetic number, because the mean of its divisors is an integer number (265944600).

Almost surely, 220000088960 is an apocalyptic number.

20000088960 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 20000088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34040908800).

20000088960 is an abundant number, since it is smaller than the sum of its proper divisors (48081728640).

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

20000088960 is a wasteful number, since it uses less digits than its factorization.

20000088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 20000088960 its reverse (6988000002), we get a palindrome (26988088962).

The spelling of 20000088960 in words is "twenty billion, eighty-eight thousand, nine hundred sixty".