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8011340505 = 335721211087
BaseRepresentation
bin1110111011000001…
…10101101011011001
3202200022202021011000
413131200311223121
5112401400344010
63402542455213
7402346161600
oct73540655331
922608667130
108011340505
113441213773
121676b94509
139a89b3b8c
1455ddbaa37
1531d4da7c0
hex1dd835ad9

8011340505 has 48 divisors (see below), whose sum is σ = 16567683840. Its totient is φ = 3662324064.

The previous prime is 8011340479. The next prime is 8011340531. The reversal of 8011340505 is 5050431108.

8011340505 is a `hidden beast` number, since 8 + 0 + 113 + 40 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (8011340479) and next prime (8011340531).

It is not a de Polignac number, because 8011340505 - 215 = 8011307737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 598929 + ... + 612158.

It is an arithmetic number, because the mean of its divisors is an integer number (345160080).

Almost surely, 28011340505 is an apocalyptic number.

It is an amenable number.

8011340505 is an abundant number, since it is smaller than the sum of its proper divisors (8556343335).

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

8011340505 is a wasteful number, since it uses less digits than its factorization.

8011340505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211115 (or 1211102 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8011340505 is about 89506.0919993718. The cubic root of 8011340505 is about 2000.9445958824.

The spelling of 8011340505 in words is "eight billion, eleven million, three hundred forty thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 1211087 3633261 6055435 8477609 10899783 18166305 25432827 32699349 42388045 54498915 59343263 76298481 127164135 163496745 178029789 228895443 296716315 381492405 534089367 890148945 1144477215 1602268101 2670446835 8011340505