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7728990001 = 82912377537
BaseRepresentation
bin1110011001010111…
…10000011100110001
3201221122110101001221
413030223300130301
5111312110140001
63314535025041
7362350221355
oct71453603461
921848411057
107728990001
1133068a4647
1215b850b181
13962355685
145346bd465
153038161a1
hex1ccaf0731

7728990001 has 8 divisors (see below), whose sum is σ = 7745596520. Its totient is φ = 7712402688.

The previous prime is 7728989981. The next prime is 7728990019. The reversal of 7728990001 is 1000998277.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1973491776 + 5755498225 = 44424^2 + 75865^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7728990001 - 25 = 7728989969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7728990001.

It is not an unprimeable number, because it can be changed into a prime (7728990301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021705 + ... + 1029241.

It is an arithmetic number, because the mean of its divisors is an integer number (968199565).

Almost surely, 27728990001 is an apocalyptic number.

It is an amenable number.

7728990001 is a deficient number, since it is larger than the sum of its proper divisors (16606519).

7728990001 is a wasteful number, since it uses less digits than its factorization.

7728990001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9603.

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 7728990001 is about 87914.6745486782. The cubic root of 7728990001 is about 1977.1559004119.

The spelling of 7728990001 in words is "seven billion, seven hundred twenty-eight million, nine hundred ninety thousand, one".

Divisors: 1 829 1237 7537 1025473 6248173 9323269 7728990001