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116205653135 = 511132174715647
BaseRepresentation
bin110110000111001100…
…1011000110010001111
3102002221120102211010002
41230032121120302033
53400442121400020
6125214550234515
711252453516435
oct1541631306217
9362846384102
10116205653135
1145312075170
121a631055a3b
13ac5c07c100
1458a5446d55
153051d04975
hex1b0e658c8f

116205653135 has 96 divisors (see below), whose sum is σ = 178137833472. Its totient is φ = 71856445440.

The previous prime is 116205653117. The next prime is 116205653141. The reversal of 116205653135 is 531356502611.

It is not a de Polignac number, because 116205653135 - 28 = 116205652879 is a prime.

It is a Duffinian number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7418882 + ... + 7434528.

It is an arithmetic number, because the mean of its divisors is an integer number (1855602432).

Almost surely, 2116205653135 is an apocalyptic number.

116205653135 is a deficient number, since it is larger than the sum of its proper divisors (61932180337).

116205653135 is a wasteful number, since it uses less digits than its factorization.

116205653135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15753 (or 15740 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The spelling of 116205653135 in words is "one hundred sixteen billion, two hundred five million, six hundred fifty-three thousand, one hundred thirty-five".

Divisors: 1 5 11 13 17 47 55 65 85 143 169 187 221 235 517 611 715 799 845 935 1105 1859 2431 2585 2873 3055 3995 6721 7943 8789 9295 10387 12155 14365 15647 31603 33605 39715 43945 51935 78235 87373 114257 135031 158015 172117 203411 265999 436865 571285 675155 735409 860585 1017055 1329995 1485341 2237521 2644343 2925989 3457987 3677045 7426705 8089499 9560317 11187605 12501953 13221715 14629945 17289935 29087773 38037857 40447495 44953831 47801585 62509765 105163487 124284121 137521483 145438865 162525389 190189285 224769155 494492141 525817435 621420605 687607415 812626945 1367125331 1787779279 2112830057 2472460705 6835626655 8938896395 10564150285 23241130627 116205653135