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448241095680 = 21035779113467
BaseRepresentation
bin1101000010111010100…
…00000101010000000000
31120211222200200221111020
412201131100011100000
524320444210030210
6541530310145440
744245555306560
oct6413520052000
91524880627436
10448241095680
1116310945a614
1272a57052280
1333365b79481
14179a3076da0
15b9d6b51770
hex685d405400

448241095680 has 704 divisors, whose sum is σ = 1677489315840. Its totient is φ = 100048306176.

The previous prime is 448241095633. The next prime is 448241095681. The reversal of 448241095680 is 86590142844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448241095681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959830807 + ... + 959831273.

Almost surely, 2448241095680 is an apocalyptic number.

448241095680 is a gapful number since it is divisible by the number (40) 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 448241095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838744657920).

448241095680 is an abundant number, since it is smaller than the sum of its proper divisors (1229248220160).

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

448241095680 is a wasteful number, since it uses less digits than its factorization.

448241095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 448241095680 in words is "four hundred forty-eight billion, two hundred forty-one million, ninety-five thousand, six hundred eighty".