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2881842138 = 234719592267
BaseRepresentation
bin1010101111000101…
…0110101111011010
321102211200202020000
42223301112233122
521400222422023
61153543513430
7131262153060
oct25361265732
97384622200
102881842138
1112497a771a
12685158876
1336c083c46
141d4a4a030
1511d004243
hexabc56bda

2881842138 has 160 divisors (see below), whose sum is σ = 7903526400. Its totient is φ = 766488096.

The previous prime is 2881842133. The next prime is 2881842179. The reversal of 2881842138 is 8312481882.

It is a happy number.

It is a super-2 number, since 2×28818421382 = 16610028216704822088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2881842093 and 2881842102.

It is not an unprimeable number, because it can be changed into a prime (2881842133) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1270081 + ... + 1272347.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 22881842138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2881842138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951763200).

2881842138 is an abundant number, since it is smaller than the sum of its proper divisors (5021684262).

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

2881842138 is a wasteful number, since it uses less digits than its factorization.

2881842138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2357 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 2881842138 is about 53682.7918238238. The cubic root of 2881842138 is about 1423.0606038237.

The spelling of 2881842138 in words is "two billion, eight hundred eighty-one million, eight hundred forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 59 63 81 114 118 126 133 162 171 177 189 266 342 354 378 399 413 513 531 567 798 826 1026 1062 1121 1134 1197 1239 1539 1593 2242 2267 2394 2478 3078 3186 3363 3591 3717 4534 4779 6726 6801 7182 7434 7847 9558 10089 10773 11151 13602 15694 15869 20178 20403 21546 22302 23541 30267 31738 33453 40806 43073 47082 47607 60534 61209 66906 70623 86146 90801 95214 122418 129219 133753 141246 142821 181602 183627 211869 258438 267506 285642 301511 367254 387657 401259 423738 428463 603022 635607 775314 802518 856926 904533 936271 1162971 1203777 1271214 1285389 1809066 1872542 2325942 2407554 2541307 2570778 2713599 2808813 3488913 3611331 5082614 5427198 5617626 6977826 7222662 7623921 8140797 8426439 10833993 15247842 16281594 16852878 17789149 21667986 22871763 24422391 25279317 35578298 45743526 48844782 50558634 53367447 68615289 75837951 106734894 137230578 151675902 160102341 205845867 320204682 411691734 480307023 960614046 1440921069 2881842138