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4105049603408 = 2413711609172759
BaseRepresentation
bin111011101111001000000…
…001011111110101010000
3112112102211222001110211022
4323233020001133311100
51014224120144302113
612421500031335012
7602402645622335
oct73571001376520
915472758043738
104105049603408
111342a3a534526
12563704981468
1323a148813790
14102984c9498c
1571bad698908
hex3bbc805fd50

4105049603408 has 80 divisors (see below), whose sum is σ = 8691431212800. Its totient is φ = 1866781486080.

The previous prime is 4105049603401. The next prime is 4105049603483. The reversal of 4105049603408 is 8043069405014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105049603401) 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, 23675333 + ... + 23848091.

It is an arithmetic number, because the mean of its divisors is an integer number (108642890160).

Almost surely, 24105049603408 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 4105049603408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345715606400).

4105049603408 is an abundant number, since it is smaller than the sum of its proper divisors (4586381609392).

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

4105049603408 is a wasteful number, since it uses less digits than its factorization.

4105049603408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174460 (or 174454 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 4105049603408 in words is "four trillion, one hundred five billion, forty-nine million, six hundred three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1609 1846 3218 3692 6436 7384 12872 14768 20917 25744 41834 83668 114239 167336 172759 228478 334672 345518 456956 691036 913912 1382072 1485107 1827824 2245867 2764144 2970214 4491734 5940428 8983468 11880856 12265889 17966936 23761712 24531778 35933872 49063556 98127112 159456557 196254224 277969231 318913114 555938462 637826228 1111876924 1275652456 2223753848 2551304912 3613600003 4447507696 7227200006 14454400012 19735815401 28908800024 39471630802 57817600048 78943261604 157886523208 256565600213 315773046416 513131200426 1026262400852 2052524801704 4105049603408