Search a number
-
+
20033502531600 = 24352231486748823
BaseRepresentation
bin1001000111000011010011…
…10011010101000000010000
32121221011222020101110010110
410203201221303111000100
510111212103122002400
6110335133005401320
74135241603603055
oct443415163250020
977834866343113
1020033502531600
1164241849a7988
1222b6763569240
13b241c71c082c
144d38ab92302c
1524b1b621be50
hex123869cd5010

20033502531600 has 240 divisors, whose sum is σ = 66970035643392. Its totient is φ = 5109546478080.

The previous prime is 20033502531587. The next prime is 20033502531631. The reversal of 20033502531600 is 613520533002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 410304789 + ... + 410353611.

Almost surely, 220033502531600 is an apocalyptic number.

20033502531600 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 20033502531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33485017821696).

20033502531600 is an abundant number, since it is smaller than the sum of its proper divisors (46936533111792).

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

20033502531600 is a wasteful number, since it uses less digits than its factorization.

20033502531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63734 (or 63723 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 20033502531600 in words is "twenty trillion, thirty-three billion, five hundred two million, five hundred thirty-one thousand, six hundred".