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42049193481 = 3229223572
BaseRepresentation
bin100111001010010100…
…111100011000001001
311000112110222100111100
4213022110330120021
51142104043142411
631152300052013
73016006150551
oct471224743011
9130473870440
1042049193481
1116918745479
128196234009
133c71791b99
14206c7d0161
151161865456
hex9ca53c609

42049193481 has 27 divisors (see below), whose sum is σ = 62931048661. Its totient is φ = 27054664224.

The previous prime is 42049193467. The next prime is 42049193513. The reversal of 42049193481 is 18439194024.

The square root of 42049193481 is 205059.

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

42049193481 is a `hidden beast` number, since 42 + 0 + 49 + 1 + 93 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4173806025 + 37875387456 = 64605^2 + 194616^2 .

It is a de Polignac number, because none of the positive numbers 2k-42049193481 is a prime.

It is a super-2 number, since 2×420491934812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42049193401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17838955 + ... + 17841311.

Almost surely, 242049193481 is an apocalyptic number.

42049193481 is the 205059-th square number.

42049193481 is the 102530-th centered octagonal number.

It is an amenable number.

42049193481 is a deficient number, since it is larger than the sum of its proper divisors (20881855180).

42049193481 is an frugal number, since it uses more digits than its factorization.

42049193481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42049193481 in words is "forty-two billion, forty-nine million, one hundred ninety-three thousand, four hundred eighty-one".

Divisors: 1 3 9 29 87 261 841 2357 2523 7071 7569 21213 68353 205059 615177 1982237 5555449 5946711 16666347 17840133 49999041 161108021 483324063 1449972189 4672132609 14016397827 42049193481