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6332676804 = 2232539973329
BaseRepresentation
bin1011110010111010…
…01111101011000100
3121100100001022110100
411321131033223010
5100432131124204
62524215124100
7312633602406
oct57135175304
917310038410
106332676804
11275a6a38a3
121288973630
1379bc9804c
1444108ab76
15270e4da39
hex17974fac4

6332676804 has 72 divisors (see below), whose sum is σ = 16330892760. Its totient is φ = 2068365312.

The previous prime is 6332676793. The next prime is 6332676859. The reversal of 6332676804 is 4086762336.

6332676804 is a `hidden beast` number, since 633 + 2 + 6 + 7 + 6 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2338689600 + 3993987204 = 48360^2 + 63198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6332676804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900612 + ... + 1903940.

It is an arithmetic number, because the mean of its divisors is an integer number (226817955).

Almost surely, 26332676804 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 6332676804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165446380).

6332676804 is an abundant number, since it is smaller than the sum of its proper divisors (9998215956).

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

6332676804 is a wasteful number, since it uses less digits than its factorization.

6332676804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6332676804 is about 79578.1176203609. The cubic root of 6332676804 is about 1850.1024344547.

The spelling of 6332676804 in words is "six billion, three hundred thirty-two million, six hundred seventy-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 997 1908 1994 2991 3329 3988 5982 6658 8973 9987 11964 13316 17946 19974 29961 35892 39948 52841 59922 105682 119844 158523 176437 211364 317046 352874 475569 529311 634092 705748 951138 1058622 1587933 1902276 2117244 3175866 3319013 6351732 6638026 9957039 13276052 19914078 29871117 39828156 59742234 119484468 175907689 351815378 527723067 703630756 1055446134 1583169201 2110892268 3166338402 6332676804