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734221055689 = 11261212772
BaseRepresentation
bin10101010111100101111…
…11000011011011001001
32121012011010110010221221
422223302333003123021
544012141042240224
61321144013202041
7104021453000122
oct12536277033311
92535133403857
10734221055689
11263421710300
12ba369190321
13543101a0814
14277721a7049
151417356e6e4
hexaaf2fc36c9

734221055689 has 27 divisors (see below), whose sum is σ = 821126369973. Its totient is φ = 656017375200.

The previous prime is 734221055621. The next prime is 734221055693. The reversal of 734221055689 is 986550122437.

The square root of 734221055689 is 856867.

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

It can be written as a sum of positive squares in 4 ways, for example, as 135751718025 + 598469337664 = 368445^2 + 773608^2 .

It is not a de Polignac number, because 734221055689 - 211 = 734221053641 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (734221055699) 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 26 ways as a sum of consecutive naturals, for example, 574957119 + ... + 574958395.

It is a 1-persistent number, because it is pandigital, but 2⋅734221055689 = 1468442111378 is not.

Almost surely, 2734221055689 is an apocalyptic number.

734221055689 is the 856867-th square number.

734221055689 is the 428434-th centered octagonal number.

It is an amenable number.

734221055689 is a deficient number, since it is larger than the sum of its proper divisors (86905314284).

734221055689 is an frugal number, since it uses more digits than its factorization.

734221055689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 734221055689 in words is "seven hundred thirty-four billion, two hundred twenty-one million, fifty-five thousand, six hundred eighty-nine".

Divisors: 1 11 61 121 671 1277 3721 7381 14047 40931 77897 154517 450241 856867 1630729 4751717 9425537 17938019 52268887 99474469 197318209 574957757 1094219159 6067942609 12036410749 66747368699 734221055689