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8195693904 = 243215722309
BaseRepresentation
bin1111010001000000…
…00101110101010000
3210011011122101110200
413220200011311100
5113241044201104
63433130055200
7410045151216
oct75040056520
923134571420
108195693904
11352628a152
12170887a500
13a07c50428
1457a688cb6
1532e7a3b39
hex1e8805d50

8195693904 has 90 divisors (see below), whose sum is σ = 23093580510. Its totient is φ = 2713321728.

The previous prime is 8195693903. The next prime is 8195693911. The reversal of 8195693904 is 4093965918.

8195693904 is a `hidden beast` number, since 8 + 195 + 69 + 390 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1030410000 + 7165283904 = 32100^2 + 84648^2 .

It is a super-2 number, since 2×81956939042 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8195693903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3548302 + ... + 3550610.

It is an arithmetic number, because the mean of its divisors is an integer number (256595339).

Almost surely, 28195693904 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 8195693904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546790255).

8195693904 is an abundant number, since it is smaller than the sum of its proper divisors (14897886606).

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

8195693904 is a wasteful number, since it uses less digits than its factorization.

8195693904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 8195693904 is about 90530.0718214671. The cubic root of 8195693904 is about 2016.1766308771.

The spelling of 8195693904 in words is "eight billion, one hundred ninety-five million, six hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2309 2512 2826 3768 4618 5652 6927 7536 9236 11304 13854 18472 20781 22608 24649 27708 36944 41562 49298 55416 73947 83124 98596 110832 147894 166248 197192 221841 295788 332496 362513 394384 443682 591576 725026 887364 1087539 1183152 1450052 1774728 2175078 2900104 3262617 3549456 4350156 5800208 6525234 8700312 13050468 17400624 26100936 52201872 56914541 113829082 170743623 227658164 341487246 455316328 512230869 682974492 910632656 1024461738 1365948984 2048923476 2731897968 4097846952 8195693904