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8066374969 = 1922921632
BaseRepresentation
bin1111000001100101…
…10001110100111001
3202211011022022020111
413200302301310321
5113004442444334
63412230224321
7403615025122
oct74062616471
922734268214
108066374969
11346a2929a4
1216914b50a1
139b7212953
14567425049
1532325c064
hex1e0cb1d39

8066374969 has 27 divisors (see below), whose sum is σ = 8871372783. Its totient is φ = 7333051824.

The previous prime is 8066374963. The next prime is 8066374991. The reversal of 8066374969 is 9694736608.

The square root of 8066374969 is 89813.

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., 4229811369 + 3836563600 = 65037^2 + 61940^2 .

It is not a de Polignac number, because 8066374969 - 211 = 8066372921 is a prime.

It is a super-2 number, since 2×80663749692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8066374963) 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 26 ways as a sum of consecutive naturals, for example, 49486882 + ... + 49487044.

Almost surely, 28066374969 is an apocalyptic number.

8066374969 is the 89813-rd square number.

8066374969 is the 44907-th centered octagonal number.

It is an amenable number.

8066374969 is a deficient number, since it is larger than the sum of its proper divisors (804997814).

8066374969 is an equidigital number, since it uses as much as digits as its factorization.

8066374969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The cubic root of 8066374969 is about 2005.5160201912.

The spelling of 8066374969 in words is "eight billion, sixty-six million, three hundred seventy-four thousand, nine hundred sixty-nine".

Divisors: 1 19 29 163 361 551 841 3097 4727 10469 15979 26569 58843 89813 137083 303601 504811 770501 1706447 2604577 9591409 14639519 22344529 49486963 278150861 424546051 8066374969