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3648896505 = 3651001069
BaseRepresentation
bin1101100101111101…
…1011110111111001
3100102022001011000000
43121133123313321
524433104142010
61402024303213
7156265052142
oct33137336771
910368034000
103648896505
111602785a51
1285a011b09
13461c70177
1426887aac9
1516551e7c0
hexd97dbdf9

3648896505 has 28 divisors (see below), whose sum is σ = 6565017060. Its totient is φ = 1946076192.

The previous prime is 3648896501. The next prime is 3648896519. The reversal of 3648896505 is 5056988463.

It is a happy number.

3648896505 is a `hidden beast` number, since 3 + 6 + 48 + 8 + 96 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1982297529 + 1666598976 = 44523^2 + 40824^2 .

It is not a de Polignac number, because 3648896505 - 22 = 3648896501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648896501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 496890 + ... + 504179.

It is an arithmetic number, because the mean of its divisors is an integer number (234464895).

Almost surely, 23648896505 is an apocalyptic number.

It is an amenable number.

3648896505 is a deficient number, since it is larger than the sum of its proper divisors (2916120555).

3648896505 is an equidigital number, since it uses as much as digits as its factorization.

3648896505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001092 (or 1001077 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3648896505 is about 60406.0965880101. The cubic root of 3648896505 is about 1539.5265460017.

The spelling of 3648896505 in words is "three billion, six hundred forty-eight million, eight hundred ninety-six thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 1001069 3003207 5005345 9009621 15016035 27028863 45048105 81086589 135144315 243259767 405432945 729779301 1216298835 3648896505