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104450451345 = 3451636732351
BaseRepresentation
bin110000101000110111…
…0110110011110010001
3100222121022221200210000
41201101232312132101
53202403303420340
6115552303400213
710355244121212
oct1412156663621
9328538850700
10104450451345
114032a614069
12182b02b3069
139b078583c6
1450ac14d409
152ab4cdbd30
hex1851bb6791

104450451345 has 80 divisors (see below), whose sum is σ = 188745967872. Its totient is φ = 55259366400.

The previous prime is 104450451337. The next prime is 104450451403. The reversal of 104450451345 is 543154054401.

104450451345 is a `hidden beast` number, since 10 + 4 + 4 + 504 + 5 + 134 + 5 = 666.

It is not a de Polignac number, because 104450451345 - 23 = 104450451337 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 79 ways as a sum of consecutive naturals, for example, 44426920 + ... + 44429270.

Almost surely, 2104450451345 is an apocalyptic number.

104450451345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104450451345 is a deficient number, since it is larger than the sum of its proper divisors (84295516527).

104450451345 is a wasteful number, since it uses less digits than its factorization.

104450451345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 104450451345 in words is "one hundred four billion, four hundred fifty million, four hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 163 405 489 673 815 1467 2019 2351 2445 3365 4401 6057 7053 7335 10095 11755 13203 18171 21159 22005 30285 35265 54513 63477 66015 90855 105795 109699 190431 272565 317385 329097 383213 548495 952155 987291 1149639 1582223 1645485 1916065 2961873 3448917 4746669 4936455 5748195 7911115 8885619 10346751 14240007 14809365 17244585 23733345 31040253 42720021 44428095 51733755 71200035 128160063 155201265 213600105 257902349 640800315 773707047 1289511745 2321121141 3868535235 6963363423 11605605705 20890090269 34816817115 104450451345