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2968082172 = 22321144916693
BaseRepresentation
bin1011000011101001…
…0101011011111100
321122211222012022100
42300322111123330
522034312112142
61210304145100
7133360165536
oct26072253374
97584865270
102968082172
111293450080
126aa008190
13383bba653
14202298856
1512588bb4c
hexb0e956fc

2968082172 has 72 divisors (see below), whose sum is σ = 8203431600. Its totient is φ = 897361920.

The previous prime is 2968082167. The next prime is 2968082191. The reversal of 2968082172 is 2712808692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169458 + ... + 186150.

It is an arithmetic number, because the mean of its divisors is an integer number (113936550).

Almost surely, 22968082172 is an apocalyptic number.

2968082172 is a gapful number since it is divisible by the number (22) 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 2968082172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101715800).

2968082172 is an abundant number, since it is smaller than the sum of its proper divisors (5235349428).

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

2968082172 is a wasteful number, since it uses less digits than its factorization.

2968082172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17163 (or 17158 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2968082172 is about 54480.1080395405. The cubic root of 2968082172 is about 1437.1164925472.

The spelling of 2968082172 in words is "two billion, nine hundred sixty-eight million, eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 449 898 1347 1796 2694 4041 4939 5388 8082 9878 14817 16164 16693 19756 29634 33386 44451 50079 59268 66772 88902 100158 150237 177804 183623 200316 300474 367246 550869 600948 734492 1101738 1652607 2203476 3305214 6610428 7495157 14990314 22485471 29980628 44970942 67456413 82446727 89941884 134912826 164893454 247340181 269825652 329786908 494680362 742020543 989360724 1484041086 2968082172