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76442788989 = 3372931736163
BaseRepresentation
bin100011100110001011…
…0000110010001111101
321022022102121000212000
41013030112012101331
52223023323221424
655041202132513
75344215662010
oct1071426062175
9238272530760
1076442788989
112a467a63876
1212994651139
137293186b28
1439b2567377
151ec60603c9
hex11cc58647d

76442788989 has 128 divisors (see below), whose sum is σ = 140124979200. Its totient is φ = 40249198080.

The previous prime is 76442788979. The next prime is 76442788991. The reversal of 76442788989 is 98988724467.

It is not a de Polignac number, because 76442788989 - 25 = 76442788957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76442788979) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12400422 + ... + 12406584.

It is an arithmetic number, because the mean of its divisors is an integer number (1094726400).

Almost surely, 276442788989 is an apocalyptic number.

It is an amenable number.

76442788989 is a deficient number, since it is larger than the sum of its proper divisors (63682190211).

76442788989 is a wasteful number, since it uses less digits than its factorization.

76442788989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6306 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 76442788989 in words is "seventy-six billion, four hundred forty-two million, seven hundred eighty-eight thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 21 27 29 31 63 73 87 93 189 203 217 219 261 279 511 609 651 657 783 837 899 1533 1827 1953 1971 2117 2263 2697 4599 5481 5859 6163 6293 6351 6789 8091 13797 14819 15841 18489 18879 19053 20367 24273 43141 44457 47523 55467 56637 57159 61101 65627 129423 133371 142569 166401 169911 178727 191053 196881 388269 400113 427707 449899 459389 536181 573159 590643 1164807 1251089 1337371 1349697 1378167 1608543 1719477 1771929 3149293 3753267 4012113 4049091 4134501 4825629 5158431 5540537 9447879 11259801 12036339 12147273 12403503 13047071 13946869 16621611 28343637 33779403 36109017 38783759 39141213 41840607 49864833 85030911 91329497 97628083 116351277 117423639 125521821 149594499 273988491 292884249 349053831 352270917 376565463 404459201 821965473 878652747 1047161493 1213377603 2465896419 2635958241 2831214407 3640132809 8493643221 10920398427 25480929663 76442788989