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13163724882 = 2347113173329
BaseRepresentation
bin11000100001001111…
…01000000001010010
31020222101212111210000
430100213220001102
5203424403144012
610014120150430
7644131546440
oct142047500122
936871774700
1013163724882
115645641380
122674608416
13131a297a29
148cc3c7b90
155209e2ddc
hex3109e8052

13163724882 has 160 divisors (see below), whose sum is σ = 36901941120. Its totient is φ = 3407339520.

The previous prime is 13163724853. The next prime is 13163724911. The reversal of 13163724882 is 28842736131.

13163724882 is a `hidden beast` number, since 1 + 3 + 1 + 637 + 2 + 4 + 8 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13163724853) and next prime (13163724911).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3952594 + ... + 3955922.

It is an arithmetic number, because the mean of its divisors is an integer number (230637132).

Almost surely, 213163724882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13163724882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450970560).

13163724882 is an abundant number, since it is smaller than the sum of its proper divisors (23738216238).

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

13163724882 is a wasteful number, since it uses less digits than its factorization.

13163724882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3669 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 13163724882 in words is "thirteen billion, one hundred sixty-three million, seven hundred twenty-four thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 317 378 462 567 594 634 693 891 951 1134 1386 1782 1902 2079 2219 2853 3329 3487 4158 4438 5706 6237 6657 6658 6974 8559 9987 10461 12474 13314 17118 19971 19974 20922 23303 24409 25677 29961 31383 36619 39942 46606 48818 51354 59913 59922 62766 69909 73227 73238 89883 94149 109857 119826 139818 146454 179739 179766 188298 209727 219681 219714 256333 269649 282447 329571 359478 419454 439362 512666 539298 564894 629181 659043 659142 768999 988713 1055293 1258362 1318086 1537998 1887543 1977129 1977426 2110586 2306997 2966139 3165879 3775086 3954258 4613994 5932278 6331758 6920991 7387051 9497637 11608223 13841982 14774102 18995274 20762973 22161153 23216446 28492911 34824669 41525946 44322306 56985822 66483459 69649338 81257561 85478733 104474007 132966918 162515122 170957466 199450377 208948014 243772683 313422021 398900754 487545366 598351131 626844042 731318049 940266063 1196702262 1462636098 1880532126 2193954147 4387908294 6581862441 13163724882