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4676633748 = 2232731779541
BaseRepresentation
bin1000101101011111…
…11100010010010100
3110001220220121110100
410112233330102110
534034204234443
62052020254100
7223614505503
oct42657742224
913056817410
104676633748
111a8a924176
12aa6241330
13596b6c407
1432516883a
151c587e3d3
hex116bfc494

4676633748 has 36 divisors (see below), whose sum is σ = 11983435828. Its totient is φ = 1537522560.

The previous prime is 4676633729. The next prime is 4676633749. The reversal of 4676633748 is 8473366764.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2704208004 + 1972425744 = 52002^2 + 44412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4676633694 and 4676633703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676633749) 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 11 ways as a sum of consecutive naturals, for example, 887143 + ... + 892398.

Almost surely, 24676633748 is an apocalyptic number.

It is an amenable number.

4676633748 is an abundant number, since it is smaller than the sum of its proper divisors (7306802080).

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

4676633748 is a wasteful number, since it uses less digits than its factorization.

4676633748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779624 (or 1779619 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The square root of 4676633748 is about 68385.9177608958. The cubic root of 4676633748 is about 1672.2881787148.

The spelling of 4676633748 in words is "four billion, six hundred seventy-six million, six hundred thirty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 1779541 3559082 5338623 7118164 10677246 16015869 21354492 32031738 64063476 129906493 259812986 389719479 519625972 779438958 1169158437 1558877916 2338316874 4676633748