Search a number
-
+
9660441692 = 221117231793137
BaseRepresentation
bin10001111111100111…
…01010010001011100
3220221020211021200202
420333303222101130
5124241033113232
64234332443032
7461252254016
oct107763522134
926836737622
109660441692
114108081910
121a57319478
13bac54bbb5
146790131b6
153b8188162
hex23fcea45c

9660441692 has 96 divisors (see below), whose sum is σ = 20496913920. Its totient is φ = 3929784320.

The previous prime is 9660441613. The next prime is 9660441727. The reversal of 9660441692 is 2961440669.

It is a super-3 number, since 3×96604416923 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077948 + ... + 3081084.

It is an arithmetic number, because the mean of its divisors is an integer number (213509520).

Almost surely, 29660441692 is an apocalyptic number.

9660441692 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9660441692 is an abundant number, since it is smaller than the sum of its proper divisors (10836472228).

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

9660441692 is a wasteful number, since it uses less digits than its factorization.

9660441692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 9660441692 is about 98287.5459659056. The cubic root of 9660441692 is about 2129.7681492149.

The spelling of 9660441692 in words is "nine billion, six hundred sixty million, four hundred forty-one thousand, six hundred ninety-two".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 179 187 253 358 374 391 506 716 748 782 1012 1564 1969 3043 3137 3938 4117 4301 6086 6274 7876 8234 8602 12172 12548 16468 17204 33473 34507 45287 53329 66946 69014 69989 72151 90574 106658 133892 138028 139978 144302 181148 213316 279956 288604 561523 586619 769879 793661 1123046 1173238 1226567 1539758 1587322 2246092 2346476 2453134 3079516 3174644 4906268 6176753 9545891 12353506 12915029 13492237 19091782 24707012 25830058 26984474 38183564 51660116 53968948 105004801 142065319 210009602 219555493 284130638 420019204 439110986 568261276 878221972 2415110423 4830220846 9660441692