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455975140329045 = 3357983231513683
BaseRepresentation
bin110011110101101001111110…
…0010001000000011001010101
32012210110210112112002210122000
41213223103330101000121111
5434231144041411012140
64253440030534225513
7165021055022224101
oct14753237421003125
92183423475083560
10455975140329045
11122318a75517427
1243183053ab5299
131675736ab8b33c
148085459186901
1537aae5e522a30
hex19eb4fc440655

455975140329045 has 64 divisors (see below), whose sum is σ = 820894976409600. Its totient is φ = 240105076061760.

The previous prime is 455975140329041. The next prime is 455975140329101. The reversal of 455975140329045 is 540923041579554.

455975140329045 is a `hidden beast` number, since 4 + 5 + 5 + 97 + 51 + 403 + 2 + 90 + 4 + 5 = 666.

It is not a de Polignac number, because 455975140329045 - 22 = 455975140329041 is a prime.

It is a super-2 number, since 2×4559751403290452 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455975140329041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887401774 + ... + 887915456.

It is an arithmetic number, because the mean of its divisors is an integer number (12826484006400).

Almost surely, 2455975140329045 is an apocalyptic number.

455975140329045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

455975140329045 is a deficient number, since it is larger than the sum of its proper divisors (364919836080555).

455975140329045 is a wasteful number, since it uses less digits than its factorization.

455975140329045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597007 (or 597001 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 455975140329045 in words is "four hundred fifty-five trillion, nine hundred seventy-five billion, one hundred forty million, three hundred twenty-nine thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 79 135 237 395 711 1185 2133 3555 10665 83231 249693 416155 513683 749079 1248465 1541049 2247237 2568415 3745395 4623147 6575249 7705245 11236185 13869441 19725747 23115735 32876245 40580957 59177241 69347205 98628735 121742871 177531723 202904785 295886205 365228613 608714355 887658615 1095685839 1826143065 5478429195 42754349773 128263049319 213771748865 384789147957 641315246595 1154367443871 1923945739785 3377593632067 5771837219355 10132780896201 16887968160335 30398342688603 50663904481005 91195028065809 151991713443015 455975140329045