Search a number
-
+
106337089062 = 233171952311657
BaseRepresentation
bin110001100001000101…
…1110011011000100110
3101011110210222211012000
41203002023303120212
53220234243322222
6120503420510130
710453063225551
oct1430213633046
9334423884160
10106337089062
1141108572996
12187380ab346
13a048690b99
14520a939698
152b7575a9ac
hex18c22f3626

106337089062 has 128 divisors (see below), whose sum is σ = 263899814400. Its totient is φ = 31541695488.

The previous prime is 106337089039. The next prime is 106337089073. The reversal of 106337089062 is 260980733601.

106337089062 is a `hidden beast` number, since 1 + 0 + 633 + 7 + 0 + 8 + 9 + 0 + 6 + 2 = 666.

It is a super-2 number, since 2×1063370890622 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106337088999 and 106337089017.

It is a congruent number.

It is an unprimeable number.

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, 9116338 + ... + 9127994.

It is an arithmetic number, because the mean of its divisors is an integer number (2061717300).

Almost surely, 2106337089062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106337089062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131949907200).

106337089062 is an abundant number, since it is smaller than the sum of its proper divisors (157562725338).

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

106337089062 is a wasteful number, since it uses less digits than its factorization.

106337089062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 106337089062 in words is "one hundred six billion, three hundred thirty-seven million, eighty-nine thousand, sixty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 523 646 918 969 1026 1046 1569 1938 2907 3138 4707 5814 8721 8891 9414 9937 11657 14121 17442 17782 19874 23314 26673 28242 29811 34971 53346 59622 69942 80019 89433 104913 160038 168929 178866 198169 209826 221483 240057 268299 314739 337858 396338 442966 480114 506787 536598 594507 629478 664449 1013574 1189014 1328898 1520361 1783521 1993347 3040722 3567042 3765211 3986694 4561083 5350563 5980041 6096611 7530422 9122166 10701126 11295633 11960082 12193222 18289833 22591266 33886899 36579666 54869499 67773798 101660697 103642387 109738998 115835609 164608497 203321394 207284774 231671218 310927161 329216994 347506827 621854322 695013654 932781483 1042520481 1865562966 1969205353 2085040962 2798344449 3127561443 3938410706 5596688898 5907616059 6255122886 11815232118 17722848177 35445696354 53168544531 106337089062