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6793031808 = 273219330553
BaseRepresentation
bin1100101001110010…
…10111000010000000
3122112102021202210200
412110321113002000
5102403004004213
63042022125200
7330223550313
oct62471270200
918472252720
106793031808
112976542382
121396b80800
1384347c064
1448628297a
1529b585273
hex194e57080

6793031808 has 96 divisors (see below), whose sum is σ = 19649582940. Its totient is φ = 2252537856.

The previous prime is 6793031803. The next prime is 6793031809. The reversal of 6793031808 is 8081303976.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6185507904 + 607523904 = 78648^2 + 24648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×67930318082 = 92290562288999497728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6793031803) 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 11 ways as a sum of consecutive naturals, for example, 207060 + ... + 237612.

Almost surely, 26793031808 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 6793031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824791470).

6793031808 is an abundant number, since it is smaller than the sum of its proper divisors (12856551132).

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

6793031808 is a wasteful number, since it uses less digits than its factorization.

6793031808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30766 (or 30751 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6793031808 is about 82419.8508127745. The cubic root of 6793031808 is about 1893.8891211457.

The spelling of 6793031808 in words is "six billion, seven hundred ninety-three million, thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 288 384 386 576 579 772 1152 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 24704 27792 30553 37056 55584 61106 74112 91659 111168 122212 183318 222336 244424 274977 366636 488848 549954 733272 977696 1099908 1466544 1955392 2199816 2933088 3910784 4399632 5866176 5896729 8799264 11732352 11793458 17598528 17690187 23586916 35197056 35380374 47173832 53070561 70760748 94347664 106141122 141521496 188695328 212282244 283042992 377390656 424564488 566085984 754781312 849128976 1132171968 1698257952 2264343936 3396515904 6793031808