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8169393440 = 255133927593
BaseRepresentation
bin1111001101110111…
…10000110100100000
3210002100011012000102
413212323300310200
5113212331042230
63430350241532
7406305461405
oct74673606440
923070135012
108169393440
11351245622a
1216bbab62a8
13a02672320
14576da02ac
1532c30b045
hex1e6ef0d20

8169393440 has 48 divisors (see below), whose sum is σ = 20784827448. Its totient is φ = 3016390656.

The previous prime is 8169393439. The next prime is 8169393461. The reversal of 8169393440 is 443939618.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7124035216 + 1045358224 = 84404^2 + 32332^2 .

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 7 ways as a sum of consecutive naturals, for example, 1961717 + ... + 1965876.

Almost surely, 28169393440 is an apocalyptic number.

8169393440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8169393440 is an abundant number, since it is smaller than the sum of its proper divisors (12615434008).

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

8169393440 is a wasteful number, since it uses less digits than its factorization.

8169393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927621 (or 3927613 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 8169393440 is about 90384.6969348241. The cubic root of 8169393440 is about 2014.0176433058.

The spelling of 8169393440 in words is "eight billion, one hundred sixty-nine million, three hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 3927593 7855186 15710372 19637965 31420744 39275930 51058709 62841488 78551860 102117418 125682976 157103720 204234836 255293545 314207440 408469672 510587090 628414880 816939344 1021174180 1633878688 2042348360 4084696720 8169393440