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132254342362005 = 351747587149912541
BaseRepresentation
bin11110000100100011011101…
…000110001011001110010101
3122100021101120111212211200120
4132010203131012023032111
5114313323343121041010
61145140450042302153
736600026615466033
oct3604433506131625
9570241514784616
10132254342362005
113915a82a444096
12129bb93b7b7959
1358a46b970a5c6
142493204053553
15104538b6e0e70
hex7848dd18b395

132254342362005 has 128 divisors (see below), whose sum is σ = 229382544384000. Its totient is φ = 64814886850560.

The previous prime is 132254342361941. The next prime is 132254342362007. The reversal of 132254342362005 is 500263243452231.

It is not a de Polignac number, because 132254342362005 - 26 = 132254342361941 is a prime.

It is a super-2 number, since 2×1322543423620052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132254342362007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10545751035 + ... + 10545763575.

It is an arithmetic number, because the mean of its divisors is an integer number (1792051128000).

Almost surely, 2132254342362005 is an apocalyptic number.

132254342362005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132254342362005 is a deficient number, since it is larger than the sum of its proper divisors (97128202021995).

132254342362005 is a wasteful number, since it uses less digits than its factorization.

132254342362005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699.

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 132254342362005 in words is "one hundred thirty-two trillion, two hundred fifty-four billion, three hundred forty-two million, three hundred sixty-two thousand, five".

Divisors: 1 3 5 15 17 47 51 85 141 235 255 587 705 799 1499 1761 2397 2935 3995 4497 7495 8805 9979 11985 12541 22485 25483 27589 29937 37623 49895 62705 70453 76449 82767 127415 137945 149685 188115 211359 213197 352265 382245 413835 469013 589427 639591 879913 1056795 1065985 1197701 1407039 1768281 2345065 2639739 2947135 3197955 3593103 4399565 5988505 7035195 7361567 8841405 10020259 13198695 14958521 17965515 18798959 22084701 30060777 36807835 41355911 44875563 50101295 56396877 74792605 93994795 110423505 124067733 125146639 150303885 206779555 224377815 281984385 319582303 345993649 375439917 620338665 625733195 703050487 883551073 958746909 1037980947 1597911515 1729968245 1877199585 2109151461 2650653219 3515252435 4417755365 4793734545 5189904735 5881892033 10545757305 11034988933 13253266095 15020368241 17645676099 29409460165 33104966799 45061104723 55174944665 75101841205 88228380495 165524833995 187594811861 225305523615 518644479851 562784435583 937974059305 1555933439553 2593222399255 2813922177915 7779667197765 8816956157467 26450868472401 44084780787335 132254342362005