Search a number
-
+
10998367744 = 297131132089
BaseRepresentation
bin10100011111000110…
…11100011000000000
31001101111100222012111
422033203130120000
5140011040231434
65015205105104
7536356404040
oct121743343000
931344328174
1010998367744
114734323521
12216b3b8194
1310637a5710
147649a7720
1544586a964
hex28f8dc600

10998367744 has 160 divisors (see below), whose sum is σ = 27298877760. Its totient is φ = 4310433792.

The previous prime is 10998367741. The next prime is 10998367747. The reversal of 10998367744 is 44776389901.

It is an interprime number because it is at equal distance from previous prime (10998367741) and next prime (10998367747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10998367741) 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, 5263852 + ... + 5265940.

It is an arithmetic number, because the mean of its divisors is an integer number (170617986).

Almost surely, 210998367744 is an apocalyptic number.

10998367744 is a gapful number since it is divisible by the number (14) 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 10998367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649438880).

10998367744 is an abundant number, since it is smaller than the sum of its proper divisors (16300510016).

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

10998367744 is a wasteful number, since it uses less digits than its factorization.

10998367744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 10998367744 in words is "ten billion, nine hundred ninety-eight million, three hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 113 128 182 208 224 226 256 364 416 448 452 512 728 791 832 896 904 1456 1469 1582 1664 1792 1808 2089 2912 2938 3164 3328 3584 3616 4178 5824 5876 6328 6656 7232 8356 10283 11648 11752 12656 14464 14623 16712 20566 23296 23504 25312 27157 28928 29246 33424 41132 46592 47008 50624 54314 57856 58492 66848 82264 94016 101248 108628 116984 133696 164528 188032 190099 202496 217256 233968 236057 267392 329056 376064 380198 404992 434512 467936 472114 534784 658112 752128 760396 869024 935872 944228 1069568 1316224 1520792 1652399 1738048 1871744 1888456 2632448 3041584 3068741 3304798 3476096 3743488 3776912 5264896 6083168 6137482 6609596 6952192 7486976 7553824 12166336 12274964 13219192 13904384 15107648 21481187 24332672 24549928 26438384 30215296 42962374 48665344 49099856 52876768 60430592 85924748 97330688 98199712 105753536 120861184 171849496 196399424 211507072 343698992 392798848 423014144 687397984 785597696 846028288 1374795968 1571195392 2749591936 5499183872 10998367744