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11064000200 = 23521119213931
BaseRepresentation
bin10100100110111011…
…10011111011001000
31001120001212110000012
422103131303323020
5140124341001300
65025511531052
7541114310231
oct122335637310
931501773005
1011064000200
114768381120
122189389a88
1310742752a6
1476d5b0088
1544b4d2435
hex293773ec8

11064000200 has 144 divisors (see below), whose sum is σ = 29619153360. Its totient is φ = 3811248000.

The previous prime is 11064000179. The next prime is 11064000217. The reversal of 11064000200 is 200046011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 787235 + ... + 801165.

It is an arithmetic number, because the mean of its divisors is an integer number (205688565).

Almost surely, 211064000200 is an apocalyptic number.

11064000200 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 11064000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809576680).

11064000200 is an abundant number, since it is smaller than the sum of its proper divisors (18555153160).

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

11064000200 is a wasteful number, since it uses less digits than its factorization.

11064000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11064000200 its reverse (200046011), we get a palindrome (11264046211).

The spelling of 11064000200 in words is "eleven billion, sixty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 361 380 418 440 475 550 722 760 836 950 1045 1100 1444 1672 1805 1900 2090 2200 2888 3610 3800 3971 4180 5225 7220 7942 8360 9025 10450 13931 14440 15884 18050 19855 20900 27862 31768 36100 39710 41800 55724 69655 72200 79420 99275 111448 139310 153241 158840 198550 264689 278620 306482 348275 397100 529378 557240 612964 696550 766205 794200 1058756 1225928 1323445 1393100 1532410 2117512 2646890 2786200 2911579 3064820 3831025 5029091 5293780 5823158 6129640 6617225 7662050 10058182 10587560 11646316 13234450 14557895 15324100 20116364 23292632 25145455 26468900 29115790 30648200 40232728 50290910 52937800 55320001 58231580 72789475 100581820 110640002 116463160 125727275 145578950 201163640 221280004 251454550 276600005 291157900 442560008 502909100 553200010 582315800 1005818200 1106400020 1383000025 2212800040 2766000050 5532000100 11064000200