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4105521640 = 2351118151551
BaseRepresentation
bin1111010010110101…
…0100100111101000
3101121010021002221001
43310231110213220
531402003143030
61515215324344
7203511233563
oct36455244750
911533232831
104105521640
1118175071a0
12966b206b4
1350574955c
142ad3814da
1519066acca
hexf4b549e8

4105521640 has 64 divisors (see below), whose sum is σ = 10133061120. Its totient is φ = 1484640000.

The previous prime is 4105521631. The next prime is 4105521649. The reversal of 4105521640 is 461255014.

It is an interprime number because it is at equal distance from previous prime (4105521631) and next prime (4105521649).

It is a junction number, because it is equal to n+sod(n) for n = 4105521599 and 4105521608.

It is not an unprimeable number, because it can be changed into a prime (4105521649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53865 + ... + 105415.

It is an arithmetic number, because the mean of its divisors is an integer number (158329080).

Almost surely, 24105521640 is an apocalyptic number.

4105521640 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 4105521640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066530560).

4105521640 is an abundant number, since it is smaller than the sum of its proper divisors (6027539480).

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

4105521640 is a wasteful number, since it uses less digits than its factorization.

4105521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51754 (or 51750 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 4105521640 is about 64074.3446318415. The cubic root of 4105521640 is about 1601.2388374286.

Adding to 4105521640 its reverse (461255014), we get a palindrome (4566776654).

The spelling of 4105521640 in words is "four billion, one hundred five million, five hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 724 905 1448 1810 1991 3620 3982 7240 7964 9955 15928 19910 39820 51551 79640 103102 206204 257755 412408 515510 567061 1031020 1134122 2062040 2268244 2835305 4536488 5670610 9330731 11341220 18661462 22682440 37322924 46653655 74645848 93307310 102638041 186614620 205276082 373229240 410552164 513190205 821104328 1026380410 2052760820 4105521640