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1484338104075 = 352317925913119
BaseRepresentation
bin10101100110011001011…
…100100000011100001011
312020220100002000101112010
4111212121130200130023
5143304411023312300
63053521232551003
7212145165465261
oct25463134403413
95226302011463
101484338104075
11522560188152
121bb8119b2463
13a9c8470ca78
1451bb158a431
15289273dca50
hex1599972070b

1484338104075 has 96 divisors (see below), whose sum is σ = 2567149977600. Its totient is φ = 755878032000.

The previous prime is 1484338104043. The next prime is 1484338104121. The reversal of 1484338104075 is 5704018334841.

It is not a de Polignac number, because 1484338104075 - 25 = 1484338104043 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 475900366 + ... + 475903484.

It is an arithmetic number, because the mean of its divisors is an integer number (26741145600).

Almost surely, 21484338104075 is an apocalyptic number.

1484338104075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1484338104075 is a deficient number, since it is larger than the sum of its proper divisors (1082811873525).

1484338104075 is a wasteful number, since it uses less digits than its factorization.

1484338104075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 1484338104075 in words is "one trillion, four hundred eighty-four billion, three hundred thirty-eight million, one hundred four thousand, seventy-five".

Divisors: 1 3 5 15 25 31 75 79 93 155 237 395 465 775 1185 1975 2325 2449 2591 3119 5925 7347 7773 9357 12245 12955 15595 36735 38865 46785 61225 64775 77975 80321 96689 183675 194325 204689 233925 240963 246401 290067 401605 483445 614067 739203 1023445 1204815 1232005 1450335 2008025 2417225 3070335 3696015 5117225 6024075 6160025 6345359 7251675 7638431 8081329 15351675 18480075 19036077 22915293 24243987 31726795 38192155 40406645 95180385 114576465 121219935 158633975 190960775 202033225 250521199 475901925 572882325 606099675 638424991 751563597 1252605995 1915274973 3192124955 3757817985 6263029975 9576374865 15960624775 18789089925 19791174721 47881874325 59373524163 98955873605 296867620815 494779368025 1484338104075