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11024248320 = 29325478483
BaseRepresentation
bin10100100010001100…
…01010111000000000
31001110022001211200100
422101012022320000
5140034201421240
65021531522400
7540122364441
oct122106127000
931408054610
1011024248320
11474799aa28
122177bb9400
131068c67677
147681c32c8
15447c7de30
hex29118ae00

11024248320 has 120 divisors (see below), whose sum is σ = 38180152296. Its totient is φ = 2939793408.

The previous prime is 11024248307. The next prime is 11024248331. The reversal of 11024248320 is 2384242011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 216202 + ... + 262281.

Almost surely, 211024248320 is an apocalyptic number.

11024248320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11024248320 is an abundant number, since it is smaller than the sum of its proper divisors (27155903976).

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

11024248320 is an equidigital number, since it uses as much as digits as its factorization.

11024248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478512 (or 478493 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11024248320 in words is "eleven billion, twenty-four million, two hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 478483 956966 1435449 1913932 2392415 2870898 3827864 4306347 4784830 5741796 7177245 7655728 8612694 9569660 11483592 14354490 15311456 17225388 19139320 21531735 22967184 28708980 30622912 34450776 38278640 43063470 45934368 57417960 61245824 68901552 76557280 86126940 91868736 114835920 122491648 137803104 153114560 172253880 183737472 229671840 244983296 275606208 306229120 344507760 367474944 459343680 551212416 612458240 689015520 734949888 918687360 1102424832 1224916480 1378031040 1837374720 2204849664 2756062080 3674749440 5512124160 11024248320