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4197968645 = 513113571541
BaseRepresentation
bin1111101000110111…
…1110101100000101
3101211120012220101012
43322031332230011
532044134444040
61532321012005
7206013100433
oct37215765405
911746186335
104197968645
111864709a82
12991a84005
1351b947220
142bb767d53
1519882c865
hexfa37eb05

4197968645 has 16 divisors (see below), whose sum is σ = 5473086192. Its totient is φ = 3072599040.

The previous prime is 4197968609. The next prime is 4197968647. The reversal of 4197968645 is 5468697914.

It can be written as a sum of positive squares in 8 ways, for example, as 304083844 + 3893884801 = 17438^2 + 62401^2 .

It is not a de Polignac number, because 4197968645 - 26 = 4197968581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197968647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278426 + ... + 293115.

It is an arithmetic number, because the mean of its divisors is an integer number (342067887).

Almost surely, 24197968645 is an apocalyptic number.

It is an amenable number.

4197968645 is a deficient number, since it is larger than the sum of its proper divisors (1275117547).

4197968645 is a wasteful number, since it uses less digits than its factorization.

4197968645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571672.

The product of its digits is 13063680, while the sum is 59.

The square root of 4197968645 is about 64791.7328445536. The cubic root of 4197968645 is about 1613.1684892885.

The spelling of 4197968645 in words is "four billion, one hundred ninety-seven million, nine hundred sixty-eight thousand, six hundred forty-five".

Divisors: 1 5 13 65 113 565 1469 7345 571541 2857705 7430033 37150165 64584133 322920665 839593729 4197968645