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76032324081 = 3374759239607
BaseRepresentation
bin100011011001111100…
…0010011000111110001
321021020211020020212000
41012303320103013301
52221203233332311
654532340324213
75331103043220
oct1066370230761
9237224206760
1076032324081
112a2772a047a
121289b0a3669
13722912019c
143973c3acb7
151e9eed1056
hex11b3e131f1

76032324081 has 128 divisors (see below), whose sum is σ = 134479872000. Its totient is φ = 41558432832.

The previous prime is 76032324029. The next prime is 76032324133. The reversal of 76032324081 is 18042323067.

It is a happy number.

76032324081 is a `hidden beast` number, since 7 + 603 + 2 + 3 + 2 + 40 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (76032324029) and next prime (76032324133).

It is not a de Polignac number, because 76032324081 - 27 = 76032323953 is a prime.

It is a super-2 number, since 2×760323240812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76032324281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 125258880 + ... + 125259486.

It is an arithmetic number, because the mean of its divisors is an integer number (1050624000).

Almost surely, 276032324081 is an apocalyptic number.

It is an amenable number.

76032324081 is a deficient number, since it is larger than the sum of its proper divisors (58447547919).

76032324081 is a wasteful number, since it uses less digits than its factorization.

76032324081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 76032324081 in words is "seventy-six billion, thirty-two million, three hundred twenty-four thousand, eighty-one".

Divisors: 1 3 7 9 21 27 47 59 63 141 177 189 239 329 413 423 531 607 717 987 1239 1269 1593 1673 1821 2151 2773 2961 3717 4249 5019 5463 6453 8319 8883 11151 11233 12747 14101 15057 16389 19411 24957 28529 33699 35813 38241 42303 45171 58233 74871 78631 85587 98707 101097 107439 114723 126909 145073 174699 199703 235893 250691 256761 296121 303291 322317 380727 435219 524097 599109 662747 707679 752073 770283 888363 966951 1015511 1305657 1683211 1797327 1988241 2123037 2256219 2665089 3046533 3916971 4639229 5049633 5391981 5964723 6768657 6818431 8559307 9139599 11782477 13917687 15148899 17894169 20455293 25677921 27418797 35347431 41753061 45446697 47729017 59915149 61365879 77033763 106042293 125259183 143187051 179745447 184097637 231101289 318126879 402287429 429561153 539236341 1206862287 1288683459 1617709023 2816012003 3620586861 8448036009 10861760583 25344108027 76032324081