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11433061829985 = 3519241391713147
BaseRepresentation
bin1010011001011111011110…
…0101101100110101100001
31111110222201201220000210220
42212113313211230311201
52444304402312024420
640152135345313253
72260003634044245
oct246276745546541
944428651800726
1011433061829985
113708809386544
121347979335829
1364c1965798b3
142b7512682425
1514c6008d5840
hexa65f796cd61

11433061829985 has 96 divisors (see below), whose sum is σ = 19783796441472. Its totient is φ = 5633942307840.

The previous prime is 11433061829977. The next prime is 11433061830011. The reversal of 11433061829985 is 58992816033411.

It is a happy number.

It is not a de Polignac number, because 11433061829985 - 23 = 11433061829977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869626182 + ... + 869639328.

It is an arithmetic number, because the mean of its divisors is an integer number (206081212932).

Almost surely, 211433061829985 is an apocalyptic number.

11433061829985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11433061829985 is a deficient number, since it is larger than the sum of its proper divisors (8350734611487).

11433061829985 is a wasteful number, since it uses less digits than its factorization.

11433061829985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17132 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 11433061829985 in words is "eleven trillion, four hundred thirty-three billion, sixty-one million, eight hundred twenty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 19 41 57 95 123 205 285 361 615 779 1083 1805 2337 3895 3917 5415 11685 11751 13147 14801 19585 39441 44403 58755 65735 74005 74423 160597 197205 222015 223269 249793 372115 481791 539027 749379 802985 1116345 1248965 1414037 1617081 2408955 2695135 3051343 3746895 4242111 4746067 7070185 8085405 9154029 10241513 14238201 15256715 21210555 23730335 30724539 45770145 51207565 51496799 57975517 71191005 153622695 154490397 173926551 194588747 257483995 289877585 583766241 772451985 869632755 972943735 978439181 2111368759 2918831205 2935317543 4892195905 6334106277 10556843795 14676587715 18590344439 31670531385 40116006421 55771033317 92951722195 120348019263 200580032105 278855166585 601740096315 762204121999 2286612365997 3811020609995 11433061829985