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449848297152 = 2632311271631217
BaseRepresentation
bin1101000101111010000…
…11000100011011000000
31121000010200221020102200
412202331003010123000
524332242131002102
6542354002113200
744333442302262
oct6427503043300
91530120836380
10449848297152
111638636aa8a1
127322534b800
1333560b34067
1417ab66c3b32
15ba7ccc451c
hex68bd0c46c0

449848297152 has 336 divisors, whose sum is σ = 1350822100992. Its totient is φ = 142968913920.

The previous prime is 449848297133. The next prime is 449848297247. The reversal of 449848297152 is 251792848944.

449848297152 is a `hidden beast` number, since 4 + 498 + 4 + 8 + 2 + 97 + 1 + 52 = 666.

It is a super-2 number, since 2×4498482971522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 449848297152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369636448 + ... + 369637664.

It is an arithmetic number, because the mean of its divisors is an integer number (4020303872).

Almost surely, 2449848297152 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 449848297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675411050496).

449848297152 is an abundant number, since it is smaller than the sum of its proper divisors (900973803840).

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

449848297152 is a wasteful number, since it uses less digits than its factorization.

449848297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1543 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 449848297152 in words is "four hundred forty-nine billion, eight hundred forty-eight million, two hundred ninety-seven thousand, one hundred fifty-two".