Search a number
-
+
3169053168 = 243195365563
BaseRepresentation
bin1011110011100011…
…1110100111110000
322011212010120200120
42330320332213300
522442234200133
61242243450240
7141350336031
oct27470764760
98155116616
103169053168
111386936606
12745386980
133b67248b8
14220c50a88
15138338ab3
hexbce3e9f0

3169053168 has 80 divisors (see below), whose sum is σ = 8780330880. Its totient is φ = 981856512.

The previous prime is 3169053119. The next prime is 3169053193. The reversal of 3169053168 is 8613509613.

It is a happy number.

It is a super-2 number, since 2×31690531682 = 20085795963221672448, which contains 22 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 15 ways as a sum of consecutive naturals, for example, 15555 + ... + 81117.

It is an arithmetic number, because the mean of its divisors is an integer number (109754136).

Almost surely, 23169053168 is an apocalyptic number.

3169053168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3169053168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390165440).

3169053168 is an abundant number, since it is smaller than the sum of its proper divisors (5611277712).

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

3169053168 is a wasteful number, since it uses less digits than its factorization.

3169053168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65646 (or 65640 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 3169053168 is about 56294.3440142969. The cubic root of 3169053168 is about 1468.8468238617.

The spelling of 3169053168 in words is "three billion, one hundred sixty-nine million, fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 8056 12084 16112 24168 48336 65563 131126 196689 262252 393378 524504 786756 1049008 1245697 1573512 2491394 3147024 3474839 3737091 4982788 6949678 7474182 9965576 10424517 13899356 14948364 19931152 20849034 27798712 29896728 41698068 55597424 59793456 66021941 83396136 132043882 166792272 198065823 264087764 396131646 528175528 792263292 1056351056 1584526584 3169053168