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8005666136 = 231376977559
BaseRepresentation
bin1110111010010110…
…01100010101011000
3202122221001222101012
413131023030111120
5112343422304021
63402221113052
7402250016336
oct73513142530
922587058335
108005666136
113438a98506
1216750b8788
139a7778170
1455d340b56
1531cc6935b
hex1dd2cc558

8005666136 has 16 divisors (see below), whose sum is σ = 16165287600. Its totient is φ = 3694922784.

The previous prime is 8005666127. The next prime is 8005666157. The reversal of 8005666136 is 6316665008.

It is a junction number, because it is equal to n+sod(n) for n = 8005666093 and 8005666102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38488676 + ... + 38488883.

It is an arithmetic number, because the mean of its divisors is an integer number (1010330475).

Almost surely, 28005666136 is an apocalyptic number.

It is an amenable number.

8005666136 is an abundant number, since it is smaller than the sum of its proper divisors (8159621464).

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

8005666136 is a wasteful number, since it uses less digits than its factorization.

8005666136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76977578 (or 76977574 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 8005666136 is about 89474.3881566116. The cubic root of 8005666136 is about 2000.4720665678.

The spelling of 8005666136 in words is "eight billion, five million, six hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 76977559 153955118 307910236 615820472 1000708267 2001416534 4002833068 8005666136