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2043105216 = 26329212653
BaseRepresentation
bin111100111000111…
…0100111111000000
312021101110111110120
41321301310333000
513141013331331
6534422500240
7101426051655
oct17161647700
95241414416
102043105216
11959309209
12490294680
1326738a3c9
141554b9c2c
15be579796
hex79c74fc0

2043105216 has 84 divisors (see below), whose sum is σ = 5598990072. Its totient is φ = 657499136.

The previous prime is 2043105209. The next prime is 2043105227. The reversal of 2043105216 is 6125013402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155146 + ... + 167798.

Almost surely, 22043105216 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 2043105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799495036).

2043105216 is an abundant number, since it is smaller than the sum of its proper divisors (3555884856).

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

2043105216 is a wasteful number, since it uses less digits than its factorization.

2043105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2043105216 is about 45200.7214101722. The cubic root of 2043105216 is about 1268.9083176589.

Adding to 2043105216 its reverse (6125013402), we get a palindrome (8168118618).

The spelling of 2043105216 in words is "two billion, forty-three million, one hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 841 928 1392 1682 1856 2523 2784 3364 5046 5568 6728 10092 12653 13456 20184 25306 26912 37959 40368 50612 53824 75918 80736 101224 151836 161472 202448 303672 366937 404896 607344 733874 809792 1100811 1214688 1467748 2201622 2429376 2935496 4403244 5870992 8806488 10641173 11741984 17612976 21282346 23483968 31923519 35225952 42564692 63847038 70451904 85129384 127694076 170258768 255388152 340517536 510776304 681035072 1021552608 2043105216