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7672217321 = 891731812753
BaseRepresentation
bin1110010010100110…
…01011111011101001
3201210200122000121002
413021103023323221
5111203041423241
63305150124345
7361060525346
oct71123137351
921720560532
107672217321
11328784847a
1215a14b06b5
13953668682
1452ad417cd
152ed84e89b
hex1c94cbee9

7672217321 has 16 divisors (see below), whose sum is σ = 7849230480. Its totient is φ = 7497768960.

The previous prime is 7672217269. The next prime is 7672217323. The reversal of 7672217321 is 1237122767.

It can be written as a sum of positive squares in 8 ways, for example, as 384400 + 7671832921 = 620^2 + 87589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7672217321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7672217323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2785481 + ... + 2788233.

It is an arithmetic number, because the mean of its divisors is an integer number (490576905).

Almost surely, 27672217321 is an apocalyptic number.

It is an amenable number.

7672217321 is a deficient number, since it is larger than the sum of its proper divisors (177013159).

7672217321 is a wasteful number, since it uses less digits than its factorization.

7672217321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196.

The product of its digits is 49392, while the sum is 38.

The square root of 7672217321 is about 87591.1943119855. The cubic root of 7672217321 is about 1972.3029850191.

The spelling of 7672217321 in words is "seven billion, six hundred seventy-two million, two hundred seventeen thousand, three hundred twenty-one".

Divisors: 1 89 173 181 2753 15397 16109 31313 245017 476269 498293 2786857 42387941 44348077 86204689 7672217321