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449672380416 = 2203372269
BaseRepresentation
bin1101000101100101001…
…00000000000000000000
31120222200102220202001000
412202302210000000000
524331412112133131
6542324315412000
744326205111430
oct6426244000000
91528612822030
10449672380416
11163783376a66
1273196454000
133353355c90c
1417a9b1b02c0
15ba6c625ce6
hex68b2900000

449672380416 has 336 divisors, whose sum is σ = 1523370486400. Its totient is φ = 128421199872.

The previous prime is 449672380369. The next prime is 449672380441. The reversal of 449672380416 is 614083276944.

449672380416 is a `hidden beast` number, since 4 + 496 + 72 + 3 + 80 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198179730 + ... + 198181998.

Almost surely, 2449672380416 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 449672380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761685243200).

449672380416 is an abundant number, since it is smaller than the sum of its proper divisors (1073698105984).

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

449672380416 is an frugal number, since it uses more digits than its factorization.

449672380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 449672380416 in words is "four hundred forty-nine billion, six hundred seventy-two million, three hundred eighty thousand, four hundred sixteen".