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8340841665 = 32513177311489
BaseRepresentation
bin1111100010010011…
…10010010011000001
3210112021202122202200
413301021302103001
5114040223413130
63455353103413
7413456661432
oct76111622301
923467678680
108340841665
1135a0207882
1217493b7b69
13a2c040890
14591a6d489
1533c3c5760
hex1f12724c1

8340841665 has 96 divisors (see below), whose sum is σ = 16712710560. Its totient is φ = 3811442688.

The previous prime is 8340841651. The next prime is 8340841667. The reversal of 8340841665 is 5661480438.

8340841665 is a `hidden beast` number, since 83 + 408 + 4 + 166 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2842915761 + 5497925904 = 53319^2 + 74148^2 .

It is not a de Polignac number, because 8340841665 - 214 = 8340825281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8340841665.

It is not an unprimeable number, because it can be changed into a prime (8340841667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720241 + ... + 731729.

It is an arithmetic number, because the mean of its divisors is an integer number (174090735).

Almost surely, 28340841665 is an apocalyptic number.

8340841665 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8340841665 is an abundant number, since it is smaller than the sum of its proper divisors (8371868895).

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

8340841665 is a wasteful number, since it uses less digits than its factorization.

8340841665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8340841665 is about 91328.2084845641. The cubic root of 8340841665 is about 2028.0093782756.

The spelling of 8340841665 in words is "eight billion, three hundred forty million, eight hundred forty-one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 73 85 117 153 195 219 221 255 365 585 657 663 765 949 1095 1105 1241 1989 2847 3285 3315 3723 4745 6205 8541 9945 11169 11489 14235 16133 18615 34467 42705 48399 55845 57445 80665 103401 145197 149357 172335 195313 241995 448071 517005 585939 725985 746785 838697 976565 1344213 1757817 2240355 2516091 2539069 2929695 4193485 6721065 7548273 7617207 8789085 10903061 12580455 12695345 14257849 22851621 32709183 37741365 38086035 42773547 54515305 71289245 98127549 114258105 128320641 163545915 185352037 213867735 490637745 556056111 641603205 926760185 1668168333 2780280555 8340841665