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7642332468 = 2232212287013
BaseRepresentation
bin1110001111000010…
…01011110100110100
3201201121101201021200
413013201023310310
5111122414114333
63302201412500
7360245516451
oct70741136464
921647351250
107642332468
113271996551
12159349a130
1394a403c24
14526da2828
152eade9c13
hex1c784bd34

7642332468 has 18 divisors (see below), whose sum is σ = 19318118274. Its totient is φ = 2547444144.

The previous prime is 7642332463. The next prime is 7642332469. The reversal of 7642332468 is 8642332467.

It can be written as a sum of positive squares in only one way, i.e., 7629673104 + 12659364 = 87348^2 + 3558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642332461) 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 5 ways as a sum of consecutive naturals, for example, 106143471 + ... + 106143542.

It is an arithmetic number, because the mean of its divisors is an integer number (1073228793).

Almost surely, 27642332468 is an apocalyptic number.

It is an amenable number.

7642332468 is an abundant number, since it is smaller than the sum of its proper divisors (11675785806).

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

7642332468 is a wasteful number, since it uses less digits than its factorization.

7642332468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212287023 (or 212287018 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 7642332468 is about 87420.4350709833. The cubic root of 7642332468 is about 1969.7388118600.

Subtracting 7642332468 from its reverse (8642332467), we obtain a palindrome (999999999).

The spelling of 7642332468 in words is "seven billion, six hundred forty-two million, three hundred thirty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 212287013 424574026 636861039 849148052 1273722078 1910583117 2547444156 3821166234 7642332468