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11983412708085 = 3571329302726101
BaseRepresentation
bin1010111001100001101100…
…0011101100001011110101
31120102121021122011100221110
42232120123003230023311
53032314012123124320
641253034230505233
72344526065241610
oct256303303541365
946377248140843
1011983412708085
113900156080995
121416570805219
1368c05306a160
142d6000a51177
1515bab1abc5e0
hexae61b0ec2f5

11983412708085 has 64 divisors (see below), whose sum is σ = 24411832865280. Its totient is φ = 4882366540800.

The previous prime is 11983412708041. The next prime is 11983412708107. The reversal of 11983412708085 is 58080721438911.

It is a happy number.

It is not a de Polignac number, because 11983412708085 - 29 = 11983412707573 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151323466 + ... + 151402635.

It is an arithmetic number, because the mean of its divisors is an integer number (381434888520).

Almost surely, 211983412708085 is an apocalyptic number.

11983412708085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11983412708085 is an abundant number, since it is smaller than the sum of its proper divisors (12428420157195).

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

11983412708085 is a wasteful number, since it uses less digits than its factorization.

11983412708085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302726158.

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 11983412708085 in words is "eleven trillion, nine hundred eighty-three billion, four hundred twelve million, seven hundred eight thousand, eighty-five".

Divisors: 1 3 5 7 13 15 21 29 35 39 65 87 91 105 145 195 203 273 377 435 455 609 1015 1131 1365 1885 2639 3045 5655 7917 13195 39585 302726101 908178303 1513630505 2119082707 3935439313 4540891515 6357248121 8779056929 10595413535 11806317939 19677196565 26337170787 27548075191 31786240605 43895284645 59031589695 61453398503 82644225573 114127740077 131685853935 137740375955 184360195509 307266992515 342383220231 413221127865 570638700385 798894180539 921800977545 1711916101155 2396682541617 3994470902695 11983412708085