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743404359681 = 34958012
BaseRepresentation
bin10101101000101100101…
…10100101000000000001
32122001212010110022210000
422310112112211000001
544134443004002211
61325303143230213
7104465152540134
oct12642626450001
92561763408700
10743404359681
11267304420535
121000b0748369
13551449107c9
1427da3a9621b
151450e8a8656
hexad165a5001

743404359681 has 15 divisors (see below), whose sum is σ = 1110529215763. Its totient is φ = 495597733200.

The previous prime is 743404359641. The next prime is 743404359701. The reversal of 743404359681 is 186953404347.

The square root of 743404359681 is 862209.

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

743404359681 is a `hidden beast` number, since 7 + 4 + 3 + 4 + 0 + 43 + 596 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 558022446081 + 185381913600 = 747009^2 + 430560^2 .

It is not a de Polignac number, because 743404359681 - 29 = 743404359169 is a prime.

It is a super-2 number, since 2×7434043596812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (743404359601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7711981 + ... + 7807781.

Almost surely, 2743404359681 is an apocalyptic number.

743404359681 is the 862209-th square number.

743404359681 is the 431105-th centered octagonal number.

It is an amenable number.

743404359681 is a deficient number, since it is larger than the sum of its proper divisors (367124856082).

743404359681 is an frugal number, since it uses more digits than its factorization.

743404359681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191614 (or 95804 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 743404359681 in words is "seven hundred forty-three billion, four hundred four million, three hundred fifty-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 27 81 95801 287403 862209 2586627 7759881 9177831601 27533494803 82600484409 247801453227 743404359681