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134706756792975 = 35217910311606323
BaseRepresentation
bin11110101000001111011100…
…011000110011001010001111
3122122221211200111022000220120
4132220033130120303022033
5120124013414214333400
61154255232454520023
740242146003300163
oct3650173430631217
9578854614260816
10134706756792975
1139a158a6459014
12131370a4366013
135a21a3c61bcb3
142539badd30ca3
1510890728d3ca0
hex7a83dc63328f

134706756792975 has 48 divisors (see below), whose sum is σ = 235841989289472. Its totient is φ = 67610075420160.

The previous prime is 134706756792953. The next prime is 134706756792983. The reversal of 134706756792975 is 579297657607431.

It is a Cunningham number, because it is equal to 116063242-1.

It is not a de Polignac number, because 134706756792975 - 29 = 134706756792463 is a prime.

It is a super-3 number, since 3×1347067567929753 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134706756792975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5803164 + ... + 17409486.

It is an arithmetic number, because the mean of its divisors is an integer number (4913374776864).

Almost surely, 2134706756792975 is an apocalyptic number.

134706756792975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134706756792975 is a deficient number, since it is larger than the sum of its proper divisors (101135232496497).

134706756792975 is a wasteful number, since it uses less digits than its factorization.

134706756792975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615456 (or 11615451 counting only the distinct ones).

The product of its (nonzero) digits is 4200789600, while the sum is 78.

The spelling of 134706756792975 in words is "one hundred thirty-four trillion, seven hundred six billion, seven hundred fifty-six million, seven hundred ninety-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 9103 27309 45515 136545 154751 227575 464253 682725 773755 2321265 3868775 11606323 11606325 34818969 58031615 174094845 197307491 290158075 591922473 870474225 986537455 2959612365 4932687275 14798061825 105652358269 316957074807 528261791345 1584785374035 1796090090573 2641308956725 5388270271719 7923926870175 8980450452865 26941351358595 44902252264325 134706756792975