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444683713731763 = 1119725748710191609
BaseRepresentation
bin110010100011011111111111…
…0110010110101110010110011
32011022111100101120220002010111
41211012333332302311302303
5431241144221203404023
64213432513343242151
7162444223653600232
oct14506777662656263
92138440346802114
10444683713731763
11119765338580610
1241a5a823ba9357
1316118656bc415c
147bb4b41398b19
15366239d1bc00d
hex1946ffecb5cb3

444683713731763 has 64 divisors (see below), whose sum is σ = 491260687948800. Its totient is φ = 399177568419840.

The previous prime is 444683713731743. The next prime is 444683713731767. The reversal of 444683713731763 is 367137317386444.

It is a cyclic number.

It is not a de Polignac number, because 444683713731763 - 245 = 409499341642931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444683713731767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276372723703 + ... + 276372725311.

It is an arithmetic number, because the mean of its divisors is an integer number (7675948249200).

Almost surely, 2444683713731763 is an apocalyptic number.

444683713731763 is a deficient number, since it is larger than the sum of its proper divisors (46576974217037).

444683713731763 is a wasteful number, since it uses less digits than its factorization.

444683713731763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580.

The product of its digits is 512096256, while the sum is 67.

The spelling of 444683713731763 in words is "four hundred forty-four trillion, six hundred eighty-three billion, seven hundred thirteen million, seven hundred thirty-one thousand, seven hundred sixty-three".

Divisors: 1 11 197 257 487 1019 1609 2167 2827 5357 11209 17699 50629 95939 125159 200743 261883 316973 413513 496253 556919 783583 1055329 1376749 1639571 2208173 2880713 3486703 4548643 5458783 8619413 18035281 24656323 51590951 81462061 97761841 127537021 154365851 201380831 271219553 322995487 421369747 567500461 798471077 896082671 1075380251 1402907231 1698024361 2215189141 3552950357 4635067217 8783181847 25124793137 39672023707 83009840159 157298802169 205207066789 276372724507 436392260777 913108241749 1730286823859 2257277734679 40425792157433 444683713731763