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252049543704 = 233272953331983
BaseRepresentation
bin1110101010111101010…
…0101101001000011000
3220002120202200110112100
43222233110231020120
513112144140344304
6311442344243400
724132010525560
oct3525724551030
9802522613470
10252049543704
119799143a822
1240a22a70560
131a9ca891a4a
14c2b0ac5da0
156852c16439
hex3aaf52d218

252049543704 has 384 divisors, whose sum is σ = 825605913600. Its totient is φ = 67943715840.

The previous prime is 252049543693. The next prime is 252049543709. The reversal of 252049543704 is 407345940252.

252049543704 is a `hidden beast` number, since 2 + 5 + 204 + 9 + 5 + 437 + 0 + 4 = 666.

252049543704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252049543704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252049543709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256407997 + ... + 256408979.

It is an arithmetic number, because the mean of its divisors is an integer number (2150015400).

Almost surely, 2252049543704 is an apocalyptic number.

252049543704 is a gapful number since it is divisible by the number (24) 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 252049543704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412802956800).

252049543704 is an abundant number, since it is smaller than the sum of its proper divisors (573556369896).

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

252049543704 is a wasteful number, since it uses less digits than its factorization.

252049543704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 252049543704 in words is "two hundred fifty-two billion, forty-nine million, five hundred forty-three thousand, seven hundred four".