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106964357318 = 2713103127179251
BaseRepresentation
bin110001110011110010…
…0101001000011000110
3101020002112022100110122
41203213210221003012
53223030333413233
6121045545221542
710504451015150
oct1434744510306
9336075270418
10106964357318
11413aa655905
12188921918b2
13a118616230
145269d7dad0
152bb0862d98
hex18e79290c6

106964357318 has 128 divisors (see below), whose sum is σ = 202887659520. Its totient is φ = 41177808000.

The previous prime is 106964357317. The next prime is 106964357321. The reversal of 106964357318 is 813753469601.

It is a super-2 number, since 2×1069643573182 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106964357318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106964357317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426152693 + ... + 426152943.

It is an arithmetic number, because the mean of its divisors is an integer number (1585059840).

Almost surely, 2106964357318 is an apocalyptic number.

106964357318 is a deficient number, since it is larger than the sum of its proper divisors (95923302202).

106964357318 is a wasteful number, since it uses less digits than its factorization.

106964357318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 106964357318 in words is "one hundred six billion, nine hundred sixty-four million, three hundred fifty-seven thousand, three hundred eighteen".

Divisors: 1 2 7 13 14 26 91 103 127 179 182 206 251 254 358 502 721 889 1253 1339 1442 1651 1757 1778 2327 2506 2678 3263 3302 3514 4654 6526 9373 11557 13081 16289 18437 18746 22733 22841 23114 25853 26162 31877 32578 36874 44929 45466 45682 51706 63754 89858 91567 129059 159131 170053 180971 183134 223139 239681 258118 295529 314503 318262 336089 340106 361942 414401 446278 479362 584077 591058 629006 672178 828802 1168154 1190371 1677767 2068703 2341499 2352623 2380742 2900807 3283331 3355534 4088539 4137406 4627687 4682998 4705246 5705983 5801614 6566662 8177078 9255374 11411966 16390493 22983317 30439487 32393809 32780986 39941881 42683303 45966634 60159931 60878974 64787618 74177779 79883762 85366606 120319862 148355558 213076409 298783121 421119517 426152818 519244453 587716249 597566242 842239034 1038488906 1175432498 4114013743 7640311237 8228027486 15280622474 53482178659 106964357318