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8066913856 = 2610321092
BaseRepresentation
bin1111000001101001…
…10101011001000000
3202211012022200110021
413200310311121000
5113010112220411
63412245543224
7403622431201
oct74064653100
922735280407
108066913856
11346a620861
121691714b14
139b7371011
145675255a8
15323316a71
hex1e0d35640

8066913856 has 63 divisors (see below), whose sum is σ = 16314367041. Its totient is φ = 3957652224.

The previous prime is 8066913817. The next prime is 8066913859. The reversal of 8066913856 is 6583196608.

The square root of 8066913856 is 89816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5622600256 + 2444313600 = 74984^2 + 49440^2 .

It is a super-3 number, since 3×80669138563 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8066913859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74008330 + ... + 74008438.

It is an arithmetic number, because the mean of its divisors is an integer number (258958207).

Almost surely, 28066913856 is an apocalyptic number.

8066913856 is the 89816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066913856

8066913856 is an abundant number, since it is smaller than the sum of its proper divisors (8247453185).

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

8066913856 is an equidigital number, since it uses as much as digits as its factorization.

8066913856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The cubic root of 8066913856 is about 2005.5606797584.

The spelling of 8066913856 in words is "eight billion, sixty-six million, nine hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 103 109 206 218 412 436 824 872 1648 1744 3296 3488 6592 6976 10609 11227 11881 21218 22454 23762 42436 44908 47524 84872 89816 95048 169744 179632 190096 339488 359264 380192 678976 718528 760384 1156381 1223743 2312762 2447486 4625524 4894972 9251048 9789944 18502096 19579888 37004192 39159776 74008384 78319552 126045529 252091058 504182116 1008364232 2016728464 4033456928 8066913856