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11482408336 = 2472432892
BaseRepresentation
bin10101011000110011…
…11010010110010000
31002122020011210001211
422230121322112100
5142003444031321
65135215505504
7554354601100
oct125431722620
932566153054
1011482408336
11496257a373
122285528294
13110cb60579
147acda7200
154730d00e1
hex2ac67a590

11482408336 has 135 divisors (see below), whose sum is σ = 26796242241. Its totient is φ = 4752582912.

The previous prime is 11482408321. The next prime is 11482408337. The reversal of 11482408336 is 63380428411.

The square root of 11482408336 is 107156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2204865936 + 9277542400 = 46956^2 + 96320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11482408337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129015780 + ... + 129015868.

Almost surely, 211482408336 is an apocalyptic number.

11482408336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11482408336 is the 107156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11482408336

11482408336 is an abundant number, since it is smaller than the sum of its proper divisors (15313833905).

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

11482408336 is an frugal number, since it uses more digits than its factorization.

11482408336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 11482408336 in words is "eleven billion, four hundred eighty-two million, four hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 89 98 112 172 178 196 301 344 356 392 602 623 688 712 784 1204 1246 1424 1849 2107 2408 2492 3698 3827 4214 4361 4816 4984 7396 7654 7921 8428 8722 9968 12943 14792 15308 15842 16856 17444 25886 26789 29584 30616 31684 33712 34888 51772 53578 55447 61232 63368 69776 90601 103544 107156 110894 126736 164561 181202 187523 207088 214312 221788 329122 340603 362404 375046 388129 428624 443576 658244 681206 724808 750092 776258 887152 1151927 1316488 1362412 1449616 1500184 1552516 2303854 2384221 2632976 2724824 3000368 3105032 4607708 4768442 5449648 6210064 8063489 9215416 9536884 14645929 16126978 16689547 18430832 19073768 29291858 32253956 33379094 38147536 58583716 64507912 66758188 102521503 117167432 129015824 133516376 205043006 234334864 267032752 410086012 717650521 820172024 1435301042 1640344048 2870602084 5741204168 11482408336