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11008043520 = 29351817919
BaseRepresentation
bin10100100000010000…
…10110101000000000
31001102011120112212120
422100020112220000
5140021024343040
65020152324240
7536534553225
oct122010265000
931364515776
1011008043520
114739832031
1221726a3680
1310657b2826
14765da594c
1544662c7d0
hex290216a00

11008043520 has 160 divisors (see below), whose sum is σ = 35390234880. Its totient is φ = 2918891520.

The previous prime is 11008043483. The next prime is 11008043521. The reversal of 11008043520 is 2534080011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11008043521) 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, 1386121 + ... + 1394039.

It is an arithmetic number, because the mean of its divisors is an integer number (221188968).

Almost surely, 211008043520 is an apocalyptic number.

11008043520 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 11008043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695117440).

11008043520 is an abundant number, since it is smaller than the sum of its proper divisors (24382191360).

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

11008043520 is an equidigital number, since it uses as much as digits as its factorization.

11008043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11008043520 in words is "eleven billion, eight million, forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 256 320 362 384 480 512 543 640 724 768 905 960 1086 1280 1448 1536 1810 1920 2172 2560 2715 2896 3620 3840 4344 5430 5792 7240 7680 7919 8688 10860 11584 14480 15838 17376 21720 23168 23757 28960 31676 34752 39595 43440 46336 47514 57920 63352 69504 79190 86880 92672 95028 115840 118785 126704 139008 158380 173760 190056 231680 237570 253408 278016 316760 347520 380112 463360 475140 506816 633520 695040 760224 950280 1013632 1267040 1390080 1433339 1520448 1900560 2027264 2534080 2866678 3040896 3801120 4054528 4300017 5068160 5733356 6081792 7166695 7602240 8600034 10136320 11466712 12163584 14333390 15204480 17200068 20272640 21500085 22933424 28666780 30408960 34400136 43000170 45866848 57333560 60817920 68800272 86000340 91733696 114667120 137600544 172000680 183467392 229334240 275201088 344001360 366934784 458668480 550402176 688002720 733869568 917336960 1100804352 1376005440 1834673920 2201608704 2752010880 3669347840 5504021760 11008043520