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4105234672 = 247112326299
BaseRepresentation
bin1111010010110000…
…1110100011110000
3101121002201112021121
43310230032203300
531401420002142
61515205232024
7203505630130
oct36454164360
911532645247
104105234672
111817330630
12966a02614
13505678a56
142ad308ac0
15190610c67
hexf4b0e8f0

4105234672 has 120 divisors (see below), whose sum is σ = 10368086400. Its totient is φ = 1529658240.

The previous prime is 4105234667. The next prime is 4105234673. The reversal of 4105234672 is 2764325014.

4105234672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105234673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648579 + ... + 654877.

It is an arithmetic number, because the mean of its divisors is an integer number (86400720).

Almost surely, 24105234672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105234672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184043200).

4105234672 is an abundant number, since it is smaller than the sum of its proper divisors (6262851728).

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

4105234672 is a wasteful number, since it uses less digits than its factorization.

4105234672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4105234672 is about 64072.1052564999. The cubic root of 4105234672 is about 1601.2015287296.

Adding to 4105234672 its reverse (2764325014), we get a palindrome (6869559686).

The spelling of 4105234672 in words is "four billion, one hundred five million, two hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 529 616 644 1012 1058 1232 1288 1771 2024 2116 2576 3542 3703 4048 4232 5819 6299 7084 7406 8464 11638 12598 14168 14812 23276 25196 28336 29624 40733 44093 46552 50392 59248 69289 81466 88186 93104 100784 138578 144877 162932 176372 277156 289754 325864 352744 485023 554312 579508 651728 705488 970046 1014139 1108624 1159016 1593647 1940092 2028278 2318032 3187294 3332171 3880184 4056556 6374588 6664342 7760368 8113112 11155529 12749176 13328684 16226224 22311058 23325197 25498352 26657368 36653881 44622116 46650394 53314736 73307762 89244232 93300788 146615524 178488464 186601576 256577167 293231048 373203152 513154334 586462096 1026308668 2052617336 4105234672