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10989364232 = 237113612417
BaseRepresentation
bin10100011110000010…
…00110010000001000
31001100212102112201002
422033001012100020
5140001234123412
65014244114132
7536220024530
oct121701062010
931325375632
1010989364232
11472a234000
122168395948
1310619725b2
147637024c0
15444b8cdc2
hex28f046408

10989364232 has 128 divisors (see below), whose sum is σ = 26337242880. Its totient is φ = 4209638400.

The previous prime is 10989364219. The next prime is 10989364241. The reversal of 10989364232 is 23246398901.

It is a super-2 number, since 2×109893642322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4545488 + ... + 4547904.

It is an arithmetic number, because the mean of its divisors is an integer number (205759710).

Almost surely, 210989364232 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 10989364232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168621440).

10989364232 is an abundant number, since it is smaller than the sum of its proper divisors (15347878648).

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

10989364232 is a wasteful number, since it uses less digits than its factorization.

10989364232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 10989364232 in words is "ten billion, nine hundred eighty-nine million, three hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 121 122 154 242 244 308 427 484 488 616 671 847 854 968 1331 1342 1694 1708 2417 2662 2684 3388 3416 4697 4834 5324 5368 6776 7381 9317 9394 9668 10648 14762 16919 18634 18788 19336 26587 29524 33838 37268 37576 51667 53174 59048 67676 74536 81191 103334 106348 135352 147437 162382 186109 206668 212696 292457 294874 324764 372218 413336 568337 584914 589748 649528 744436 1032059 1136674 1169828 1179496 1488872 1621807 2047199 2064118 2273348 2339656 3217027 3243614 4094398 4128236 4546696 6434054 6487228 8188796 8256472 11352649 12868108 12974456 16377592 17839877 22519189 22705298 25736216 35679754 45038378 45410596 71359508 90076756 90821192 124879139 142719016 180153512 196238647 249758278 392477294 499516556 784954588 999033112 1373670529 1569909176 2747341058 5494682116 10989364232