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8066822064 = 243747510817
BaseRepresentation
bin1111000001101000…
…11110111110110000
3202211012011000112120
413200310132332300
5113010101301224
63412243554240
7403621566450
oct74064367660
922735130476
108066822064
11346a5688a4
12169168b980
139b733b2c2
145674ddd60
153232e9779
hex1e0d1efb0

8066822064 has 80 divisors (see below), whose sum is σ = 24323109888. Its totient is φ = 2255763456.

The previous prime is 8066822063. The next prime is 8066822087. The reversal of 8066822064 is 4602286608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8066822063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239617 + ... + 271200.

Almost surely, 28066822064 is an apocalyptic number.

8066822064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8066822064 is an abundant number, since it is smaller than the sum of its proper divisors (16256287824).

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

8066822064 is a wasteful number, since it uses less digits than its factorization.

8066822064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510882 (or 510876 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 8066822064 is about 89815.4889982791. The cubic root of 8066822064 is about 2005.5530727550.

The spelling of 8066822064 in words is "eight billion, sixty-six million, eight hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 510817 1021634 1532451 2043268 3064902 3575719 4086536 6129804 7151438 8173072 10727157 12259608 14302876 21454314 24008399 24519216 28605752 42908628 48016798 57211504 72025197 85817256 96033596 144050394 168058793 171634512 192067192 288100788 336117586 384134384 504176379 576201576 672235172 1008352758 1152403152 1344470344 2016705516 2688940688 4033411032 8066822064