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1146216126 = 2311172935227
BaseRepresentation
bin100010001010001…
…1101111010111110
32221212210210221010
41010110131322332
54321412404001
6305423220050
740255450656
oct10424357276
92855723833
101146216126
11539011160
1227ba47626
131536129c3
14ac32d366
156a9648d6
hex4451debe

1146216126 has 64 divisors (see below), whose sum is σ = 2739329280. Its totient is φ = 315624960.

The previous prime is 1146216091. The next prime is 1146216157. The reversal of 1146216126 is 6216126411.

It is a super-2 number, since 2×11462161262 = 2627622815004895752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1146216093 and 1146216102.

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 31 ways as a sum of consecutive naturals, for example, 14925 + ... + 50151.

It is an arithmetic number, because the mean of its divisors is an integer number (42802020).

Almost surely, 21146216126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146216126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369664640).

1146216126 is an abundant number, since it is smaller than the sum of its proper divisors (1593113154).

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

1146216126 is a wasteful number, since it uses less digits than its factorization.

1146216126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35289.

The product of its digits is 3456, while the sum is 30.

The square root of 1146216126 is about 33855.8137695729. The cubic root of 1146216126 is about 1046.5392107952.

The spelling of 1146216126 in words is "one billion, one hundred forty-six million, two hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 1122 1479 1914 2958 5423 10846 16269 32538 35227 70454 105681 211362 387497 598859 774994 1021583 1162491 1197718 1796577 2043166 2324982 3064749 3593154 6129498 6587449 11237413 13174898 17366911 19762347 22474826 33712239 34733822 39524694 52100733 67424478 104201466 191036021 382072042 573108063 1146216126