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11084299520 = 28574726321
BaseRepresentation
bin10100101001010110…
…01111110100000000
31001121111001202102212
422110223033310000
5140200040041040
65031515001252
7541451664020
oct122453176400
931544052385
1011084299520
114778886318
122194139228
131078531a18
14772175a80
1544d191d65
hex294acfd00

11084299520 has 144 divisors (see below), whose sum is σ = 30990048768. Its totient is φ = 3719331840.

The previous prime is 11084299511. The next prime is 11084299537. The reversal of 11084299520 is 2599248011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407960 + ... + 434280.

It is an arithmetic number, because the mean of its divisors is an integer number (215208672).

Almost surely, 211084299520 is an apocalyptic number.

11084299520 is a gapful number since it is divisible by the number (10) 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 11084299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495024384).

11084299520 is an abundant number, since it is smaller than the sum of its proper divisors (19905749248).

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

11084299520 is an equidigital number, since it uses as much as digits as its factorization.

11084299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26396 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 11084299520 in words is "eleven billion, eighty-four million, two hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 560 640 658 752 896 940 1120 1280 1316 1504 1645 1792 1880 2240 2632 3008 3290 3760 4480 5264 6016 6580 7520 8960 10528 12032 13160 15040 21056 26320 26321 30080 42112 52640 52642 60160 84224 105280 105284 131605 184247 210560 210568 263210 368494 421120 421136 526420 736988 842272 921235 1052840 1237087 1473976 1684544 1842470 2105680 2474174 2947952 3369088 3684940 4211360 4948348 5895904 6185435 6738176 7369880 8422720 8659609 9896696 11791808 12370870 14739760 16845440 17319218 19793392 23583616 24741740 29479520 33690880 34638436 39586784 43298045 47167232 49483480 58959040 69276872 79173568 86596090 98966960 117918080 138553744 158347136 173192180 197933920 235836160 277107488 316694272 346384360 395867840 554214976 692768720 791735680 1108429952 1385537440 1583471360 2216859904 2771074880 5542149760 11084299520