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6984145984 = 26412661641
BaseRepresentation
bin1101000000100100…
…11001110001000000
3200000201220101011111
412200102121301000
5103300420132414
63113010253104
7335034155434
oct64022316100
920021811144
106984145984
112a64406282
12142ab87194
13873c4497a
144a37d09c4
152ad2368c4
hex1a0499c40

6984145984 has 28 divisors (see below), whose sum is σ = 14197198428. Its totient is φ = 3406899200.

The previous prime is 6984145933. The next prime is 6984145991. The reversal of 6984145984 is 4895414896.

It can be written as a sum of positive squares in 2 ways, for example, as 2377537600 + 4606608384 = 48760^2 + 67872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328197 + ... + 1333444.

It is an arithmetic number, because the mean of its divisors is an integer number (507042801).

Almost surely, 26984145984 is an apocalyptic number.

6984145984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6984145984 is an abundant number, since it is smaller than the sum of its proper divisors (7213052444).

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

6984145984 is a wasteful number, since it uses less digits than its factorization.

6984145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661694 (or 2661684 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The square root of 6984145984 is about 83571.2030785725. The cubic root of 6984145984 is about 1911.4859177067.

The spelling of 6984145984 in words is "six billion, nine hundred eighty-four million, one hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 2661641 5323282 10646564 21293128 42586256 85172512 109127281 170345024 218254562 436509124 873018248 1746036496 3492072992 6984145984