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533241333216 = 25341723412313
BaseRepresentation
bin1111100001001111010…
…10010000010111100000
31212222101111122101220000
413300213222100113200
532214034240130331
61044545004220000
753345134355304
oct7604752202740
91788344571800
10533241333216
11196167916109
128741953a600
133b390bc4007
141bb47d35d04
15dd0e0c20e6
hex7c27a905e0

533241333216 has 720 divisors, whose sum is σ = 1781659024992. Its totient is φ = 155616215040.

The previous prime is 533241333211. The next prime is 533241333271. The reversal of 533241333216 is 612333142335.

533241333216 is a `hidden beast` number, since 5 + 3 + 324 + 1 + 3 + 3 + 321 + 6 = 666.

It is a super-3 number, since 3×5332413332163 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533241333211) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1703646276 + ... + 1703646588.

Almost surely, 2533241333216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533241333216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890829512496).

533241333216 is an abundant number, since it is smaller than the sum of its proper divisors (1248417691776).

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

533241333216 is a wasteful number, since it uses less digits than its factorization.

533241333216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 399 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 533241333216 in words is "five hundred thirty-three billion, two hundred forty-one million, three hundred thirty-three thousand, two hundred sixteen".