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444735770724054 = 23379104251235519
BaseRepresentation
bin110010100011111000001110…
…1101000100000011011010110
32011022200022202112022021201000
41211013300131220200123112
5431243022324301132204
64213512443105244130
7162451045663664115
oct14507603550403326
92138608675267630
10444735770724054
11119785421377397
1241a68931933646
1316120531b74184
147bb747cd7bc7c
1536638e8431039
hex1947c1da206d6

444735770724054 has 32 divisors (see below), whose sum is σ = 1000811860992000. Its totient is φ = 146368734667272.

The previous prime is 444735770723873. The next prime is 444735770724073. The reversal of 444735770724054 is 450427077537444.

444735770724054 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 3 + 577 + 0 + 7 + 2 + 4 + 0 + 54 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444735770723982 and 444735770724000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52125613494 + ... + 52125622025.

It is an arithmetic number, because the mean of its divisors is an integer number (31275370656000).

Almost surely, 2444735770724054 is an apocalyptic number.

444735770724054 is an abundant number, since it is smaller than the sum of its proper divisors (556076090267946).

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

444735770724054 is a wasteful number, since it uses less digits than its factorization.

444735770724054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104251235609 (or 104251235603 counting only the distinct ones).

The product of its (nonzero) digits is 368793600, while the sum is 63.

The spelling of 444735770724054 in words is "four hundred forty-four trillion, seven hundred thirty-five billion, seven hundred seventy million, seven hundred twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 104251235519 208502471038 312753706557 625507413114 938261119671 1876522239342 2814783359013 5629566718026 8235847606001 16471695212002 24707542818003 49415085636006 74122628454009 148245256908018 222367885362027 444735770724054