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6729074352 = 2435721113219
BaseRepresentation
bin1100100010001010…
…11000011010110000
3122100221221101200000
412101011120122300
5102240120334402
63031415230000
7325516121400
oct62105303260
918327841600
106729074352
112943429180
121379678300
13833147a00
1447b994800
15295b4ec1c
hex1911586b0

6729074352 has 1080 divisors, whose sum is σ = 28248816960. Its totient is φ = 1528450560.

The previous prime is 6729074329. The next prime is 6729074369. The reversal of 6729074352 is 2534709276.

6729074352 is a `hidden beast` number, since 6 + 7 + 290 + 7 + 4 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6729074298 and 6729074307.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 354161799 + ... + 354161817.

It is an arithmetic number, because the mean of its divisors is an integer number (26156312).

Almost surely, 26729074352 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 6729074352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124408480).

6729074352 is an abundant number, since it is smaller than the sum of its proper divisors (21519742608).

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

6729074352 is a wasteful number, since it uses less digits than its factorization.

6729074352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6729074352 is about 82030.9353353965. The cubic root of 6729074352 is about 1887.9266151573.

The spelling of 6729074352 in words is "six billion, seven hundred twenty-nine million, seventy-four thousand, three hundred fifty-two".