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664758116929 = 232354492
BaseRepresentation
bin10011010110001101010…
…10111110001001000001
32100112212010200020121101
421223012222332021001
541342411034220204
61225215145254401
766012216522514
oct11530652761101
92315763606541
10664758116929
11236a166992a5
12a8a02194401
134a8c00b62aa
1424262a32d7b
151245a197ea4
hex9ac6abe241

664758116929 has 9 divisors (see below), whose sum is σ = 694936879203. Its totient is φ = 635837652912.

The previous prime is 664758116903. The next prime is 664758116933. The reversal of 664758116929 is 929611857466.

The square root of 664758116929 is 815327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 233266782529 + 431491334400 = 482977^2 + 656880^2 .

It is not a de Polignac number, because 664758116929 - 27 = 664758116801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (664758116959) 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 8 ways as a sum of consecutive naturals, for example, 18734797 + ... + 18770245.

Almost surely, 2664758116929 is an apocalyptic number.

664758116929 is the 815327-th square number.

664758116929 is the 407664-th centered octagonal number.

It is an amenable number.

664758116929 is a deficient number, since it is larger than the sum of its proper divisors (30178762274).

664758116929 is an frugal number, since it uses more digits than its factorization.

664758116929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70944 (or 35472 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 64.

Multiplying 664758116929 by its sum of digits (64), we get a square (42544519483456 = 65226162).

The spelling of 664758116929 in words is "six hundred sixty-four billion, seven hundred fifty-eight million, one hundred sixteen thousand, nine hundred twenty-nine".

Divisors: 1 23 529 35449 815327 18752521 1256631601 28902526823 664758116929