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7641636164 = 2261101310081
BaseRepresentation
bin1110001110111101…
…00001110101000100
3201201120002100010122
413013132201311010
5111122224324124
63302134441112
7360236556431
oct70736416504
921646070118
107641636164
113271560398
121593203198
1394a21c006
14526c60b88
152ead0d75e
hex1c77a1d44

7641636164 has 24 divisors (see below), whose sum is σ = 13726709976. Its totient is φ = 3720960000.

The previous prime is 7641636139. The next prime is 7641636169. The reversal of 7641636164 is 4616361467.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108784900 + 7532851264 = 10430^2 + 86792^2 .

It is not an unprimeable number, because it can be changed into a prime (7641636169) 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, 130397 + ... + 179684.

It is an arithmetic number, because the mean of its divisors is an integer number (571946249).

Almost surely, 27641636164 is an apocalyptic number.

It is an amenable number.

7641636164 is a deficient number, since it is larger than the sum of its proper divisors (6085073812).

7641636164 is a wasteful number, since it uses less digits than its factorization.

7641636164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310247 (or 310245 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 7641636164 is about 87416.4524789241. The cubic root of 7641636164 is about 1969.6789881227.

The spelling of 7641636164 in words is "seven billion, six hundred forty-one million, six hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 61 101 122 202 244 404 6161 12322 24644 310081 620162 1240324 18914941 31318181 37829882 62636362 75659764 125272724 1910409041 3820818082 7641636164