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448836638844 = 223113400277567
BaseRepresentation
bin1101000100000001011…
…11111001100001111100
31120220112012022200010110
412202000233321201330
524323204134420334
6542105342510020
744266406324166
oct6420057714174
91526465280113
10448836638844
11163394643a50
1272ba2595310
133342c374589
1417a1c1bd936
15ba1e08dae9
hex6880bf987c

448836638844 has 24 divisors (see below), whose sum is σ = 1142493262848. Its totient is φ = 136011102640.

The previous prime is 448836638827. The next prime is 448836638857.

448836638844 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1700138652 + ... + 1700138915.

It is an arithmetic number, because the mean of its divisors is an integer number (47603885952).

Almost surely, 2448836638844 is an apocalyptic number.

448836638844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448836638844 is an abundant number, since it is smaller than the sum of its proper divisors (693656624004).

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

448836638844 is a wasteful number, since it uses less digits than its factorization.

448836638844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400277585 (or 3400277583 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 66.

The spelling of 448836638844 in words is "four hundred forty-eight billion, eight hundred thirty-six million, six hundred thirty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3400277567 6800555134 10200832701 13601110268 20401665402 37403053237 40803330804 74806106474 112209159711 149612212948 224418319422 448836638844