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449235065664 = 263271188111497
BaseRepresentation
bin1101000100110000111…
…11110001101101000000
31120221112222000211222100
412202120133301231000
524330013134100124
6542213054310400
744312315024340
oct6423037615500
91527488024870
10449235065664
11163579534a10
1273093ab8400
1333493a84aa8
1417a59094d20
15ba440411c9
hex68987f1b40

449235065664 has 336 divisors, whose sum is σ = 1607345341056. Its totient is φ = 116541849600.

The previous prime is 449235065651. The next prime is 449235065729. The reversal of 449235065664 is 466560532944.

449235065664 is a `hidden beast` number, since 4 + 4 + 9 + 23 + 50 + 6 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 449235065664.

It is a congruent number.

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, 39068364 + ... + 39079860.

It is an arithmetic number, because the mean of its divisors is an integer number (4783765896).

Almost surely, 2449235065664 is an apocalyptic number.

449235065664 is a gapful number since it is divisible by the number (44) 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 449235065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803672670528).

449235065664 is an abundant number, since it is smaller than the sum of its proper divisors (1158110275392).

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

449235065664 is a wasteful number, since it uses less digits than its factorization.

449235065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 449235065664 in words is "four hundred forty-nine billion, two hundred thirty-five million, sixty-five thousand, six hundred sixty-four".