Search a number
-
+
5441104512 = 273216272903
BaseRepresentation
bin1010001000101000…
…01010101010000000
3112001012101202012100
411010110022222000
542120410321022
62255525430400
7251556424314
oct50424125200
915035352170
105441104512
1123423a8398
12107a26b400
1368936268c
143988c5b44
1521ca391ac
hex14450aa80

5441104512 has 96 divisors (see below), whose sum is σ = 15672365280. Its totient is φ = 1811962368.

The previous prime is 5441104511. The next prime is 5441104583. The reversal of 5441104512 is 2154011445.

5441104512 is a `hidden beast` number, since 5 + 4 + 41 + 104 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5441104511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1872853 + ... + 1875755.

It is an arithmetic number, because the mean of its divisors is an integer number (163253805).

Almost surely, 25441104512 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 5441104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836182640).

5441104512 is an abundant number, since it is smaller than the sum of its proper divisors (10231260768).

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

5441104512 is a wasteful number, since it uses less digits than its factorization.

5441104512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5441104512 is about 73763.8428500034. The cubic root of 5441104512 is about 1758.8508890226.

Adding to 5441104512 its reverse (2154011445), we get a palindrome (7595115957).

The spelling of 5441104512 in words is "five billion, four hundred forty-one million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1627 2903 3254 4881 5806 6508 8709 9762 11612 13016 14643 17418 19524 23224 26032 26127 29286 34836 39048 46448 52064 52254 58572 69672 78096 92896 104128 104508 117144 139344 156192 185792 208256 209016 234288 278688 312384 371584 418032 468576 557376 624768 836064 937152 1114752 1672128 1874304 3344256 4723181 9446362 14169543 18892724 28339086 37785448 42508629 56678172 75570896 85017258 113356344 151141792 170034516 226712688 302283584 340069032 453425376 604567168 680138064 906850752 1360276128 1813701504 2720552256 5441104512