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42493600197 = 32173740918353
BaseRepresentation
bin100111100100110100…
…001110000111000101
311001200110012112220100
4213210310032013011
51144011330201242
631304333154313
73033013433136
oct474464160705
9131613175810
1042493600197
1117026590854
12829b02b999
134012880a39
1420b1833c8d
15118a89b54c
hex9e4d0e1c5

42493600197 has 48 divisors (see below), whose sum is σ = 66913544880. Its totient is φ = 25877200896.

The previous prime is 42493600189. The next prime is 42493600199. The reversal of 42493600197 is 79100639424.

It is a happy number.

42493600197 is a `hidden beast` number, since 4 + 24 + 9 + 3 + 600 + 19 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3825917316 + 38667682881 = 61854^2 + 196641^2 .

It is not a de Polignac number, because 42493600197 - 23 = 42493600189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42493600199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306173 + ... + 2324525.

It is an arithmetic number, because the mean of its divisors is an integer number (1394032185).

Almost surely, 242493600197 is an apocalyptic number.

It is an amenable number.

42493600197 is a deficient number, since it is larger than the sum of its proper divisors (24419944683).

42493600197 is a wasteful number, since it uses less digits than its factorization.

42493600197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18822 (or 18819 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 42493600197 in words is "forty-two billion, four hundred ninety-three million, six hundred thousand, one hundred ninety-seven".

Divisors: 1 3 9 17 37 51 111 153 333 409 629 1227 1887 3681 5661 6953 15133 18353 20859 45399 55059 62577 136197 165177 257261 312001 679061 771783 936003 2037183 2315349 2808009 6111549 7506377 11544037 22519131 34632111 67557393 103896333 127608409 277735949 382825227 833207847 1148475681 2499623541 4721511133 14164533399 42493600197