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8066645384 = 2372171736997
BaseRepresentation
bin1111000001100111…
…10011110110001000
3202211011211001011212
413200303303312020
5113010030123014
63412240112252
7403620232400
oct74063636610
922734731155
108066645384
11346a458086
121691605688
139b72a8a65
14567495800
153232b223e
hex1e0cf3d88

8066645384 has 96 divisors (see below), whose sum is σ = 18739664280. Its totient is φ = 3234502656.

The previous prime is 8066645381. The next prime is 8066645449. The reversal of 8066645384 is 4835466608.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7990572100 + 76073284 = 89390^2 + 8722^2 .

It is not an unprimeable number, because it can be changed into a prime (8066645381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1149374 + ... + 1156370.

Almost surely, 28066645384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066645384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369832140).

8066645384 is an abundant number, since it is smaller than the sum of its proper divisors (10673018896).

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

8066645384 is a wasteful number, since it uses less digits than its factorization.

8066645384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7196 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The square root of 8066645384 is about 89814.5054208951. The cubic root of 8066645384 is about 2005.5384307352.

The spelling of 8066645384 in words is "eight billion, sixty-six million, six hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 173 196 238 346 392 476 692 833 952 1211 1384 1666 2422 2941 3332 4844 5882 6664 6997 8477 9688 11764 13994 16954 20587 23528 27988 33908 41174 48979 55976 67816 82348 97958 118949 144109 164696 195916 237898 288218 342853 391832 475796 576436 685706 832643 951592 1152872 1210481 1371412 1665286 2420962 2742824 3330572 4841924 5828501 6661144 8473367 9683848 11657002 16946734 20578177 23314004 33893468 41156354 46628008 59313569 67786936 82312708 118627138 144047239 164625416 237254276 288094478 474508552 576188956 1008330673 1152377912 2016661346 4033322692 8066645384