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11116605000 = 23354838929
BaseRepresentation
bin10100101101001100…
…11110111001001000
31001200201212001020010
422112212132321020
5140231322330000
65035031231520
7542323404054
oct122646367110
931621761203
1011116605000
114795040966
1221a2b185a0
1310821331a7
14776584c64
15450e23d50
hex29699ee48

11116605000 has 160 divisors (see below), whose sum is σ = 35150623200. Its totient is φ = 2928384000.

The previous prime is 11116604981. The next prime is 11116605011. The reversal of 11116605000 is 50661111.

11116605000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111166050003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1240536 + ... + 1249464.

It is an arithmetic number, because the mean of its divisors is an integer number (219691395).

Almost surely, 211116605000 is an apocalyptic number.

11116605000 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 11116605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575311600).

11116605000 is an abundant number, since it is smaller than the sum of its proper divisors (24034018200).

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

11116605000 is an equidigital number, since it uses as much as digits as its factorization.

11116605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 11116605000 in words is "eleven billion, one hundred sixteen million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 625 664 750 830 996 1000 1245 1250 1500 1660 1875 1992 2075 2490 2500 3000 3320 3750 4150 4980 5000 6225 7500 8300 8929 9960 10375 12450 15000 16600 17858 20750 24900 26787 31125 35716 41500 44645 49800 51875 53574 62250 71432 83000 89290 103750 107148 124500 133935 155625 178580 207500 214296 223225 249000 267870 311250 357160 415000 446450 535740 622500 669675 741107 892900 1071480 1116125 1245000 1339350 1482214 1785800 2223321 2232250 2678700 2964428 3348375 3705535 4446642 4464500 5357400 5580625 5928856 6696750 7411070 8893284 8929000 11116605 11161250 13393500 14822140 16741875 17786568 18527675 22233210 22322500 26787000 29644280 33483750 37055350 44466420 44645000 55583025 66967500 74110700 88932840 92638375 111166050 133935000 148221400 185276750 222332100 277915125 370553500 444664200 463191875 555830250 741107000 926383750 1111660500 1389575625 1852767500 2223321000 2779151250 3705535000 5558302500 11116605000