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449226408832 = 2716735935849
BaseRepresentation
bin1101000100101111111…
…10110000001110000000
31120221112100202001000221
412202113332300032000
524330003430040312
6542212144552424
744312151320635
oct6422776601600
91527470661027
10449226408832
11163574661a03
1273091022714
13334920436c6
1417a57c8018c
15ba433d1207
hex6897fb0380

449226408832 has 64 divisors (see below), whose sum is σ = 900706716000. Its totient is φ = 223167913984.

The previous prime is 449226408769. The next prime is 449226408833. The reversal of 449226408832 is 238804622944.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 449226408832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449226408833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76801044 + ... + 76806892.

Almost surely, 2449226408832 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 449226408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450353358000).

449226408832 is an abundant number, since it is smaller than the sum of its proper divisors (451480307168).

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

449226408832 is a wasteful number, since it uses less digits than its factorization.

449226408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 449226408832 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1336 2672 3593 5344 5849 7186 10688 11698 14372 21376 23396 28744 46792 57488 93584 114976 187168 229952 374336 459904 600031 748672 976783 1200062 1953566 2400124 3907132 4800248 7814264 9600496 15628528 19200992 21015457 31257056 38401984 42030914 62514112 76803968 84061828 125028224 168123656 336247312 672494624 1344989248 2689978496 3509581319 7019162638 14038325276 28076650552 56153301104 112306602208 224613204416 449226408832