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20833493472 = 25321131723139
BaseRepresentation
bin10011011001110001…
…011110000111100000
31222202220220010100100
4103121301132013200
5320131333242342
613323142022400
71335162526011
oct233161360740
958686803310
1020833493472
118920a67000
124055117a00
131c7028693c
141018c8d008
1581e00be4c
hex4d9c5e1e0

20833493472 has 576 divisors, whose sum is σ = 72516487680. Its totient is φ = 5642588160.

The previous prime is 20833493459. The next prime is 20833493479. The reversal of 20833493472 is 27439433802.

20833493472 is a `hidden beast` number, since 208 + 3 + 349 + 34 + 72 = 666.

It is a super-2 number, since 2×208334934722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20833493479) by changing a digit.

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, 149881179 + ... + 149881317.

It is an arithmetic number, because the mean of its divisors is an integer number (125896680).

Almost surely, 220833493472 is an apocalyptic number.

20833493472 is a gapful number since it is divisible by the number (22) 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 20833493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258243840).

20833493472 is an abundant number, since it is smaller than the sum of its proper divisors (51682994208).

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

20833493472 is a wasteful number, since it uses less digits than its factorization.

20833493472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20833493472 in words is "twenty billion, eight hundred thirty-three million, four hundred ninety-three thousand, four hundred seventy-two".