Search a number
-
+
16319161242 = 23229732411777
BaseRepresentation
bin11110011001011001…
…01010001110011010
31120010022101021201100
433030230222032122
5231410201124432
611255200132230
71115255403366
oct171454521632
946108337640
1016319161242
116a1481741a
1231b5307076
131700c32737
14b0b4d22a6
15657a3c07c
hex3ccb2a39a

16319161242 has 96 divisors (see below), whose sum is σ = 37253296080. Its totient is φ = 5155799040.

The previous prime is 16319161241. The next prime is 16319161249. The reversal of 16319161242 is 24216191361.

It is a happy number.

16319161242 is a `hidden beast` number, since 1 + 6 + 31 + 9 + 1 + 612 + 4 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11058415281 + 5260745961 = 105159^2 + 72531^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16319161197 and 16319161206.

It is not an unprimeable number, because it can be changed into a prime (16319161241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182658 + ... + 9184434.

Almost surely, 216319161242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16319161242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626648040).

16319161242 is an abundant number, since it is smaller than the sum of its proper divisors (20934134838).

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

16319161242 is a wasteful number, since it uses less digits than its factorization.

16319161242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2125 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 16319161242 in words is "sixteen billion, three hundred nineteen million, one hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 241 261 438 482 522 657 723 1314 1446 1777 2117 2169 3554 4234 4338 5331 6351 6989 10662 12702 13978 15993 17593 19053 20967 31986 35186 38106 41934 51533 52779 62901 103066 105558 125802 129721 154599 158337 259442 309198 316674 389163 428257 463797 510197 778326 856514 927594 1020394 1167489 1284771 1530591 2334978 2569542 3061182 3761909 3854313 4591773 7523818 7708626 9183546 11285727 12419453 22571454 24838906 31262761 33857181 37258359 62525522 67714362 74516718 93788283 111775077 187576566 223550154 281364849 562729698 906620069 1813240138 2719860207 5439720414 8159580621 16319161242