Base | Representation |
---|---|
bin | 10101000101011100001… |
… | …00111110111111110001 |
3 | 2120020222220121122200021 |
4 | 22202232010332333301 |
5 | 43332211103013141 |
6 | 1312452542323441 |
7 | 103225111205242 |
oct | 12425604767761 |
9 | 2506886548607 |
10 | 724475047921 |
11 | 25a280306429 |
12 | b84a9289581 |
13 | 53418cc2c11 |
14 | 270c9a7ccc9 |
15 | 13ca2b336d1 |
hex | a8ae13eff1 |
724475047921 has 15 divisors (see below), whose sum is σ = 757876637451. Its totient is φ = 692545445328.
The previous prime is 724475047897. The next prime is 724475047943. The reversal of 724475047921 is 129740574427.
It is a happy number.
The square root of 724475047921 is 851161.
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., 708356206321 + 16118841600 = 841639^2 + 126960^2 .
It is not a de Polignac number, because 724475047921 - 229 = 723938177009 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 (724475047421) 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 14 ways as a sum of consecutive naturals, for example, 450263365 + ... + 450264973.
Almost surely, 2724475047921 is an apocalyptic number.
724475047921 is the 851161-st square number.
724475047921 is the 425581-st centered octagonal number.
It is an amenable number.
724475047921 is a deficient number, since it is larger than the sum of its proper divisors (33401589530).
724475047921 is an frugal number, since it uses more digits than its factorization.
724475047921 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3310 (or 1632 counting only the distinct ones).
The product of its (nonzero) digits is 3951360, while the sum is 52.
The spelling of 724475047921 in words is "seven hundred twenty-four billion, four hundred seventy-five million, forty-seven thousand, nine hundred twenty-one".
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