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40166874068337 = 35795689367789
BaseRepresentation
bin10010010001000000101000…
…10000101011010101110001
312021012220201111221000100000
421020200110100223111301
520231043224230141322
6221232223542420213
711313650404161342
oct1110402420532561
9167186644830300
1040166874068337
1111886748299545
124608738a31669
131954948a17533
149cc130d280c9
15499c74dea3ac
hex24881442b571

40166874068337 has 48 divisors (see below), whose sum is σ = 60940154912000. Its totient is φ = 26434235827584.

The previous prime is 40166874068287. The next prime is 40166874068371. The reversal of 40166874068337 is 73386047866104.

40166874068337 is a `hidden beast` number, since 4 + 0 + 166 + 87 + 4 + 0 + 68 + 337 = 666.

It is not a de Polignac number, because 40166874068337 - 26 = 40166874068273 is a prime.

It is a super-2 number, since 2×401668740683372 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40166874061337) 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, 109027839 + ... + 109395627.

Almost surely, 240166874068337 is an apocalyptic number.

It is an amenable number.

40166874068337 is a deficient number, since it is larger than the sum of its proper divisors (20773280843663).

40166874068337 is an equidigital number, since it uses as much as digits as its factorization.

40166874068337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373572 (or 373560 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 40166874068337 in words is "forty trillion, one hundred sixty-six billion, eight hundred seventy-four million, sixty-eight thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 79 81 237 243 711 2133 5689 6399 17067 19197 51201 153603 367789 449431 460809 1103367 1348293 1382427 3310101 4044879 9930303 12134637 29055331 29790909 36403911 87165993 89372727 109211733 261497979 784493937 2092351621 2353481811 6277054863 7060445433 18831164589 56493493767 165295778059 169480481301 495887334177 508441443903 1487662002531 4462986007593 13388958022779 40166874068337