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73743012225 = 33527110314939
BaseRepresentation
bin100010010101101101…
…1010001000110000001
321001100021111011101000
41010223123101012001
52202011202342400
653513240402213
75220264155511
oct1045333210601
9231307434330
1073743012225
112930200a603
1212360476369
136c52a4ab9c
1437d7b91841
151db9021600
hex112b6d1181

73743012225 has 96 divisors (see below), whose sum is σ = 138719692800. Its totient is φ = 38396635200.

The previous prime is 73743012197. The next prime is 73743012247. The reversal of 73743012225 is 52221034737.

It is not a de Polignac number, because 73743012225 - 25 = 73743012193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73743012225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4928806 + ... + 4943744.

It is an arithmetic number, because the mean of its divisors is an integer number (1444996800).

Almost surely, 273743012225 is an apocalyptic number.

73743012225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73743012225 is a deficient number, since it is larger than the sum of its proper divisors (64976680575).

73743012225 is a wasteful number, since it uses less digits than its factorization.

73743012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132 (or 15121 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 73743012225 in words is "seventy-three billion, seven hundred forty-three million, twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 103 135 213 225 309 355 515 639 675 927 1065 1545 1775 1917 2575 2781 3195 4635 5325 7313 7725 9585 13905 14939 15975 21939 23175 36565 44817 47925 65817 69525 74695 109695 134451 182825 197451 224085 329085 373475 403353 548475 672255 987255 1060669 1120425 1538717 1645425 2016765 3182007 3361275 4616151 4936275 5303345 7693585 9546021 10083825 13848453 15910035 23080755 26516725 28638063 38467925 41545359 47730105 69242265 79550175 109248907 115403775 143190315 207726795 238650525 327746721 346211325 546244535 715951575 983240163 1038633975 1638733605 2731222675 2949720489 4916200815 8193668025 14748602445 24581004075 73743012225