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76106461221 = 347973833613
BaseRepresentation
bin100011011100001001…
…1000111000000100101
321021102222201210220000
41012320103013000211
52221331223224341
654543545331513
75332663150410
oct1067023070045
9237388653800
1076106461221
112a30512783a
12128bba96b99
13723b5a9b0b
14397da18b77
151ea67778b6
hex11b84c7025

76106461221 has 80 divisors (see below), whose sum is σ = 131649982464. Its totient is φ = 42916801536.

The previous prime is 76106461217. The next prime is 76106461241. The reversal of 76106461221 is 12216460167.

76106461221 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 646 + 1 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 76106461221 - 22 = 76106461217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76106461241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21062811 + ... + 21066423.

Almost surely, 276106461221 is an apocalyptic number.

It is an amenable number.

76106461221 is a deficient number, since it is larger than the sum of its proper divisors (55543521243).

76106461221 is a wasteful number, since it uses less digits than its factorization.

76106461221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 76106461221 in words is "seventy-six billion, one hundred six million, four hundred sixty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 97 189 291 383 567 679 873 1149 2037 2619 2681 3447 3613 6111 7857 8043 10341 10839 18333 24129 25291 31023 32517 37151 54999 72387 75873 97551 111453 217161 227619 260057 292653 334359 350461 682857 780171 1003077 1051383 1383779 2048571 2340513 2453227 3009231 3154149 4151337 7021539 7359681 9462447 9686453 12454011 21064617 22079043 28387341 29059359 37362033 66237129 87178077 112086099 134226563 198711387 261534231 402679689 784602693 939585941 1208039067 2818757823 3624117201 8456273469 10872351603 25368820407 76106461221