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448129805264 = 2461345690233
BaseRepresentation
bin1101000010101101001…
…11100010101111010000
31120211200221021210201222
412201112213202233100
524320232212232024
6541511252544212
744243034331661
oct6412647425720
91524627253658
10448129805264
11163061657469
1272a25922068
1333348ab195b
1417992387368
15b9cbebb85e
hex68569e2bd0

448129805264 has 20 divisors (see below), whose sum is σ = 869667913956. Its totient is φ = 223699375872.

The previous prime is 448129805147. The next prime is 448129805269. The reversal of 448129805264 is 462508921844.

It can be written as a sum of positive squares in 2 ways, for example, as 6223947664 + 441905857600 = 78892^2 + 664760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448129805269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22835309 + ... + 22854924.

Almost surely, 2448129805264 is an apocalyptic number.

It is an amenable number.

448129805264 is a deficient number, since it is larger than the sum of its proper divisors (421538108692).

448129805264 is a wasteful number, since it uses less digits than its factorization.

448129805264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45690854 (or 45690848 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 448129805264 in words is "four hundred forty-eight billion, one hundred twenty-nine million, eight hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 613 1226 2452 4904 9808 45690233 91380466 182760932 365521864 731043728 28008112829 56016225658 112032451316 224064902632 448129805264