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4105521520 = 2451910725243
BaseRepresentation
bin1111010010110101…
…0100100101110000
3101121010021002202121
43310231110211300
531402003142040
61515215324024
7203511233332
oct36455244560
911533232677
104105521520
1118175070a1
12966b20614
13505749499
142ad381452
1519066ac4a
hexf4b54970

4105521520 has 80 divisors (see below), whose sum is σ = 10142029440. Its totient is φ = 1541175552.

The previous prime is 4105521493. The next prime is 4105521521. The reversal of 4105521520 is 251255014.

4105521520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×41055215202 = 33710613902366220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105521521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150019 + ... + 175261.

It is an arithmetic number, because the mean of its divisors is an integer number (126775368).

Almost surely, 24105521520 is an apocalyptic number.

4105521520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071014720).

4105521520 is an abundant number, since it is smaller than the sum of its proper divisors (6036507920).

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

4105521520 is a wasteful number, since it uses less digits than its factorization.

4105521520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25382 (or 25376 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 4105521520 is about 64074.3436954293. The cubic root of 4105521520 is about 1601.2388218277.

Adding to 4105521520 its reverse (251255014), we get a palindrome (4356776534).

It can be divided in two parts, 4105 and 521520, that added together give a square (525625 = 7252).

The spelling of 4105521520 in words is "four billion, one hundred five million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 107 152 190 214 304 380 428 535 760 856 1070 1520 1712 2033 2140 4066 4280 8132 8560 10165 16264 20330 25243 32528 40660 50486 81320 100972 126215 162640 201944 252430 403888 479617 504860 959234 1009720 1918468 2019440 2398085 2701001 3836936 4796170 5402002 7673872 9592340 10804004 13505005 19184680 21608008 27010010 38369360 43216016 51319019 54020020 102638038 108040040 205276076 216080080 256595095 410552152 513190190 821104304 1026380380 2052760760 4105521520