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104466450546234 = 232729127225115073
BaseRepresentation
bin10111110000001011111101…
…101011001111111000111010
3111200212220011120000002212200
4113300023331223033320322
5102143034242314434414
61010103120322451030
731001311013315340
oct2760137553177072
9450786146002780
10104466450546234
1130316a77998047
12b87236ab03a76
13463a1b453414a
141bb22bb777990
15c1262ad59109
hex5f02fdacfe3a

104466450546234 has 96 divisors (see below), whose sum is σ = 269705867857920. Its totient is φ = 28591415064576.

The previous prime is 104466450546223. The next prime is 104466450546299. The reversal of 104466450546234 is 432645054664401.

104466450546234 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 6 + 4 + 5 + 0 + 5 + 4 + 623 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112093479 + ... + 113021594.

It is an arithmetic number, because the mean of its divisors is an integer number (2809436123520).

Almost surely, 2104466450546234 is an apocalyptic number.

104466450546234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104466450546234 is an abundant number, since it is smaller than the sum of its proper divisors (165239417311686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104466450546234 is a wasteful number, since it uses less digits than its factorization.

104466450546234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225115244 (or 225115241 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 104466450546234 in words is "one hundred four trillion, four hundred sixty-six billion, four hundred fifty million, five hundred forty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 127 174 203 254 261 381 406 522 609 762 889 1143 1218 1778 1827 2286 2667 3654 3683 5334 7366 8001 11049 16002 22098 25781 33147 51562 66294 77343 154686 232029 464058 225115073 450230146 675345219 1350690438 1575805511 2026035657 3151611022 4052071314 4727416533 6528337117 9454833066 13056674234 14182249599 19585011351 28364499198 28589614271 39170022702 45698359819 57179228542 58755034053 85768842813 91396719638 117510068106 137095079457 171537685626 200127299897 257306528439 274190158914 400254599794 411285238371 514613056878 600381899691 822570476742 829098813859 1200763799382 1658197627718 1801145699073 2487296441577 3602291398146 4974592883154 5803691697013 7461889324731 11607383394026 14923778649462 17411075091039 34822150182078 52233225273117 104466450546234