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533050400000 = 28552692477
BaseRepresentation
bin1111100000111000100…
…01111001110100000000
31212221220012100222202102
413300130101321310000
532213141400300000
61044514024005532
753340325432556
oct7603421716400
91787805328672
10533050400000
1119607a066168
12873856008a8
133b360492891
141bb2a833bd6
15dcec4593d5
hex7c1c479d00

533050400000 has 216 divisors, whose sum is σ = 1335421011960. Its totient is φ = 212341760000.

The previous prime is 533050399961. The next prime is 533050400059. The reversal of 533050400000 is 4050335.

It can be written as a sum of positive squares in 12 ways, for example, as 506738964736 + 26311435264 = 711856^2 + 162208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 215198762 + ... + 215201238.

It is an arithmetic number, because the mean of its divisors is an integer number (6182504685).

Almost surely, 2533050400000 is an apocalyptic number.

533050400000 is a gapful number since it is divisible by the number (50) 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 533050400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667710505980).

533050400000 is an abundant number, since it is smaller than the sum of its proper divisors (802370611960).

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

533050400000 is an frugal number, since it uses more digits than its factorization.

533050400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 533050400000 its reverse (4050335), we get a palindrome (533054450335).

The spelling of 533050400000 in words is "five hundred thirty-three billion, fifty million, four hundred thousand".