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49331568384 = 2832719237229
BaseRepresentation
bin101101111100011000…
…111111111100000000
311201100000001022211100
4231330120333330000
51302012340142014
634355042414400
73364324261350
oct557430777400
9151300038740
1049331568384
1119a1542552a
129689061400
134862434467
14255da52b60
15143ad5b009
hexb7c63ff00

49331568384 has 648 divisors, whose sum is σ = 176966331360. Its totient is φ = 12935282688.

The previous prime is 49331568383. The next prime is 49331568389. The reversal of 49331568384 is 48386513394.

49331568384 is a `hidden beast` number, since 49 + 3 + 3 + 1 + 568 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49331568384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49331568383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215421582 + ... + 215421810.

Almost surely, 249331568384 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 49331568384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88483165680).

49331568384 is an abundant number, since it is smaller than the sum of its proper divisors (127634762976).

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

49331568384 is a wasteful number, since it uses less digits than its factorization.

49331568384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 297 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 49331568384 in words is "forty-nine billion, three hundred thirty-one million, five hundred sixty-eight thousand, three hundred eighty-four".