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42023770009 = 13412132
BaseRepresentation
bin100111001000110011…
…111101011110011001
311000110201010201001021
4213020303331132121
51142031041120014
631145551122441
73015250102624
oct471063753631
9130421121037
1042023770009
1116905360441
128189813421
133c69430000
142069292dbb
15115e4e2624
hex9c8cfd799

42023770009 has 15 divisors (see below), whose sum is σ = 45563190603. Its totient is φ = 38759192784.

The previous prime is 42023770003. The next prime is 42023770067. The reversal of 42023770009 is 90007732024.

The square root of 42023770009 is 204997.

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

It can be written as a sum of positive squares in 7 ways, for example, as 29486041225 + 12537728784 = 171715^2 + 111972^2 .

It is not a de Polignac number, because 42023770009 - 219 = 42023245721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42023770003) 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, 34643887 + ... + 34645099.

Almost surely, 242023770009 is an apocalyptic number.

42023770009 is the 204997-th square number.

42023770009 is the 102499-th centered octagonal number.

It is an amenable number.

42023770009 is a deficient number, since it is larger than the sum of its proper divisors (3539420594).

42023770009 is an frugal number, since it uses more digits than its factorization.

42023770009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 42023770009 in words is "forty-two billion, twenty-three million, seven hundred seventy thousand, nine".

Divisors: 1 13 169 1213 2197 15769 28561 204997 1471369 2664961 19127797 34644493 248661361 3232597693 42023770009