Search a number
-
+
106625231514 = 2321715717312829
BaseRepresentation
bin110001101001101011…
…0111110101010011010
3101012012220011222022200
41203103112332222122
53221332024402024
6120552152431030
710463162341164
oct1432326765232
9335186158280
10106625231514
114124618864a
12187b86a8476
13a093299789
145236d03934
152b90bc62c9
hex18d35bea9a

106625231514 has 96 divisors (see below), whose sum is σ = 247611096720. Its totient is φ = 33043286016.

The previous prime is 106625231483. The next prime is 106625231539. The reversal of 106625231514 is 415132526601.

106625231514 is a `hidden beast` number, since 1 + 0 + 6 + 62 + 52 + 31 + 514 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93931829289 + 12693402225 = 306483^2 + 112665^2 .

It is a super-2 number, since 2×1066252315142 (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 8304852 + ... + 8317680.

Almost surely, 2106625231514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106625231514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123805548360).

106625231514 is an abundant number, since it is smaller than the sum of its proper divisors (140985865206).

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

106625231514 is a wasteful number, since it uses less digits than its factorization.

106625231514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106625231514 in words is "one hundred six billion, six hundred twenty-five million, two hundred thirty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 173 306 314 346 471 519 942 1038 1413 1557 2669 2826 2941 3114 5338 5882 8007 8823 12829 16014 17646 24021 25658 26469 27161 38487 48042 52938 54322 76974 81483 115461 162966 218093 230922 244449 436186 461737 488898 654279 923474 1308558 1385211 1962837 2014153 2219417 2770422 3925674 4028306 4155633 4438834 6042459 6658251 8311266 12084918 13316502 18127377 19974753 34240601 36254754 37730089 39949506 68481202 75460178 102721803 113190267 205443606 226380534 308165409 339570801 348448469 616330818 679141602 696896938 1045345407 2090690814 3136036221 5923623973 6272072442 11847247946 17770871919 35541743838 53312615757 106625231514