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106706075762 = 211132174313917
BaseRepresentation
bin110001101100000101…
…1011000000001110010
3101012102112022021210002
41203120023120001302
53222013223411022
6121004201310002
710465163451536
oct1433013300162
9335375267702
10106706075762
1141287886080
121881b795302
13a0a6c64200
145243949bc6
152b97d45092
hex18d82d8072

106706075762 has 96 divisors (see below), whose sum is σ = 200712432384. Its totient is φ = 42029644800.

The previous prime is 106706075759. The next prime is 106706075771. The reversal of 106706075762 is 267570607601.

106706075762 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1067060757622 (a number of 23 digits) contains 22 as substring.

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, 27239828 + ... + 27243744.

It is an arithmetic number, because the mean of its divisors is an integer number (2090754504).

Almost surely, 2106706075762 is an apocalyptic number.

106706075762 is a deficient number, since it is larger than the sum of its proper divisors (94006356622).

106706075762 is a wasteful number, since it uses less digits than its factorization.

106706075762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 106706075762 in words is "one hundred six billion, seven hundred six million, seventy-five thousand, seven hundred sixty-two".

Divisors: 1 2 11 13 17 22 26 34 143 169 187 221 286 338 374 431 442 862 1859 2431 2873 3718 3917 4741 4862 5603 5746 7327 7834 9482 11206 14654 31603 43087 50921 61633 63206 66589 72839 80597 86174 95251 101842 123266 133178 145678 161194 190502 560131 661973 732479 801229 865657 1047761 1120262 1238263 1323946 1464958 1602458 1688227 1731314 2095522 2476526 3376454 7281703 9522227 11253541 13620893 14563406 18570497 19044454 21946951 22507082 27241786 28699859 37140994 43893902 57399718 123788951 241416461 247577902 285310363 315698449 373098167 482832922 570620726 631396898 746196334 3138413993 4104079837 4850276171 6276827986 8208159674 9700552342 53353037881 106706075762