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6991742976 = 21133136709
BaseRepresentation
bin1101000001011110…
…11000100000000000
3200001021012100021120
412200233120200000
5103304341233401
63113441152240
7335155556211
oct64057304000
920037170246
106991742976
112a68724a89
12143162b680
138756a482a
144a480b408
152adc37836
hex1a0bd8800

6991742976 has 96 divisors (see below), whose sum is σ = 19241913600. Its totient is φ = 2255339520.

The previous prime is 6991742969. The next prime is 6991742977. The reversal of 6991742976 is 6792471996.

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

It is not an unprimeable number, because it can be changed into a prime (6991742977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 172110 + ... + 208818.

It is an arithmetic number, because the mean of its divisors is an integer number (200436600).

Almost surely, 26991742976 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 6991742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9620956800).

6991742976 is an abundant number, since it is smaller than the sum of its proper divisors (12250170624).

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

6991742976 is a wasteful number, since it uses less digits than its factorization.

6991742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36765 (or 36745 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 60.

The square root of 6991742976 is about 83616.6429366786. The cubic root of 6991742976 is about 1912.1787383311.

The spelling of 6991742976 in words is "six billion, nine hundred ninety-one million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 5952 6144 7936 11904 15872 23808 31744 36709 47616 63488 73418 95232 110127 146836 190464 220254 293672 440508 587344 881016 1137979 1174688 1762032 2275958 2349376 3413937 3524064 4551916 4698752 6827874 7048128 9103832 9397504 13655748 14096256 18207664 18795008 27311496 28192512 36415328 37590016 54622992 56385024 72830656 75180032 109245984 112770048 145661312 218491968 225540096 291322624 436983936 582645248 873967872 1165290496 1747935744 2330580992 3495871488 6991742976