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452144317005 = 34529199193451
BaseRepresentation
bin1101001010001011110…
…01101100001001001101
31121020001201022010120000
412211011321230021031
524401442421121010
6543413501514513
744444362165563
oct6450571541115
91536051263500
10452144317005
11164831752567
1273766272a39
13338387146a4
1417c535d7a33
15bb6465b7c0
hex6945e6c24d

452144317005 has 80 divisors (see below), whose sum is σ = 842676912000. Its totient is φ = 231657148800.

The previous prime is 452144316979. The next prime is 452144317021. The reversal of 452144317005 is 500713441254.

452144317005 is a `hidden beast` number, since 4 + 5 + 214 + 431 + 7 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 452144317005 - 225 = 452110762573 is a prime.

It is a congruent number.

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, 2240530 + ... + 2433980.

It is an arithmetic number, because the mean of its divisors is an integer number (10533461400).

Almost surely, 2452144317005 is an apocalyptic number.

452144317005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

452144317005 is a deficient number, since it is larger than the sum of its proper divisors (390532594995).

452144317005 is a wasteful number, since it uses less digits than its factorization.

452144317005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193696 (or 193687 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 452144317005 its reverse (500713441254), we get a palindrome (952857758259).

The spelling of 452144317005 in words is "four hundred fifty-two billion, one hundred forty-four million, three hundred seventeen thousand, five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 199 261 405 435 597 783 995 1305 1791 2349 2985 3915 5373 5771 8955 11745 16119 17313 26865 28855 51939 80595 86565 155817 193451 259695 467451 580353 779085 967255 1741059 2337255 2901765 5223177 5610079 8705295 15669531 16830237 26115885 28050395 38496749 50490711 78347655 84151185 115490247 151472133 192483745 252453555 346470741 454416399 577451235 757360665 1039412223 1116405721 1732353705 2272081995 3118236669 3349217163 5197061115 5582028605 10047651489 15591183345 16746085815 30142954467 50238257445 90428863401 150714772335 452144317005