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11290205669145 = 351331993534877
BaseRepresentation
bin1010010001001011010010…
…1100101100011100011001
31110222022222211211010221220
42210102310230230130121
52434434320122403040
640002352054122253
72243455551522354
oct244226454543431
943868884733856
1011290205669145
1136631708464a7
12132414b050389
1363b87b056000
142b063d9b129b
15148a3e0842d0
hexa44b4b2c719

11290205669145 has 128 divisors (see below), whose sum is σ = 19727100288000. Its totient is φ = 5513526779904.

The previous prime is 11290205669111. The next prime is 11290205669189. The reversal of 11290205669145 is 54196650209211.

It is not a de Polignac number, because 11290205669145 - 29 = 11290205668633 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2314987447 + ... + 2314992323.

It is an arithmetic number, because the mean of its divisors is an integer number (154117971000).

Almost surely, 211290205669145 is an apocalyptic number.

11290205669145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11290205669145 is a deficient number, since it is larger than the sum of its proper divisors (8436894618855).

11290205669145 is a wasteful number, since it uses less digits than its factorization.

11290205669145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 11290205669145 in words is "eleven trillion, two hundred ninety billion, two hundred five million, six hundred sixty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 13 15 39 65 169 195 199 353 507 597 845 995 1059 1765 2197 2535 2587 2985 4589 4877 5295 6591 7761 10985 12935 13767 14631 22945 24385 32955 33631 38805 59657 63401 68835 70247 73155 100893 168155 178971 190203 210741 298285 317005 351235 437203 504465 775541 824213 894855 913211 951015 970523 1053705 1311609 1721581 2186015 2326623 2472639 2739633 2911569 3877705 4121065 4566055 4852615 5164743 6558045 8607905 10714769 11633115 11871743 12363195 12616799 13698165 14557845 22380553 25823715 32144307 35615229 37850397 53573845 59358715 63083995 67141659 111902765 154332659 160721535 164018387 178076145 189251985 290947189 335708295 342594619 462997977 492055161 771663295 820091935 872841567 1027783857 1454735945 1712973095 2132239031 2314989885 2460275805 3782313457 4364207835 4453730047 5138919285 6396717093 10661195155 11346940371 13361190141 18911567285 22268650235 31983585465 56734701855 57898490611 66805950705 173695471833 289492453055 752680377943 868477359165 2258041133829 3763401889715 11290205669145