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4096324104 = 2332341473851
BaseRepresentation
bin1111010000101000…
…1111001000001000
3101120110221211021120
43310022033020020
531342124332404
61514250235240
7203340115605
oct36412171010
911513854246
104096324104
1118122a4a24
12963a25b20
13503879022
142ac0696ac
1518e9509d9
hexf428f208

4096324104 has 128 divisors (see below), whose sum is σ = 11182510080. Its totient is φ = 1246784000.

The previous prime is 4096324103. The next prime is 4096324109. The reversal of 4096324104 is 4014236904.

It is a super-2 number, since 2×40963241042 = 33559742330022805632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4096324103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061779 + ... + 1065629.

It is an arithmetic number, because the mean of its divisors is an integer number (87363360).

Almost surely, 24096324104 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 4096324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591255040).

4096324104 is an abundant number, since it is smaller than the sum of its proper divisors (7086185976).

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

4096324104 is a wasteful number, since it uses less digits than its factorization.

4096324104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4096324104 is about 64002.5320124134. The cubic root of 4096324104 is about 1600.0421999286.

The spelling of 4096324104 in words is "four billion, ninety-six million, three hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 47 69 82 92 94 123 138 141 164 184 188 246 276 282 328 376 492 552 564 943 984 1081 1128 1886 1927 2162 2829 3243 3772 3851 3854 4324 5658 5781 6486 7544 7702 7708 8648 11316 11553 11562 12972 15404 15416 22632 23106 23124 25944 30808 44321 46212 46248 88573 88642 92424 132963 157891 177146 177284 180997 265719 265926 315782 354292 354568 361994 473673 531438 531852 542991 631564 708584 723988 947346 1062876 1063704 1085982 1263128 1447976 1894692 2125752 2171964 3631493 3789384 4162931 4343928 7262986 7420877 8325862 10894479 12488793 14525972 14841754 16651724 21788958 22262631 24977586 29051944 29683508 33303448 43577916 44525262 49955172 59367016 87155832 89050524 99910344 170680171 178101048 341360342 512040513 682720684 1024081026 1365441368 2048162052 4096324104