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338055374493 = 32731217422797
BaseRepresentation
bin1001110101101011010…
…10111010011010011101
31012022120122211100112200
410322311222322122131
521014314133440433
6415144523522113
733265220162124
oct4726552723235
91168518740480
10338055374493
1112040649a421
1255626089339
1325b56054595
141250d34aabb
158bd85c0613
hex4eb5aba69d

338055374493 has 24 divisors (see below), whose sum is σ = 495399181368. Its totient is φ = 222099812352.

The previous prime is 338055374479. The next prime is 338055374537. The reversal of 338055374493 is 394473550833.

338055374493 is a `hidden beast` number, since 3 + 3 + 80 + 5 + 5 + 3 + 74 + 493 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5539378329 + 332515996164 = 74427^2 + 576642^2 .

It is not a de Polignac number, because 338055374493 - 26 = 338055374429 is a prime.

It is a super-2 number, since 2×3380553744932 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338055374893) 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 23 ways as a sum of consecutive naturals, for example, 588171 + ... + 1010967.

It is an arithmetic number, because the mean of its divisors is an integer number (20641632557).

Almost surely, 2338055374493 is an apocalyptic number.

It is an amenable number.

338055374493 is a deficient number, since it is larger than the sum of its proper divisors (157343806875).

338055374493 is a wasteful number, since it uses less digits than its factorization.

338055374493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424093 (or 424090 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 338055374493 in words is "three hundred thirty-eight billion, fifty-five million, three hundred seventy-four thousand, four hundred ninety-three".

Divisors: 1 3 9 73 219 657 1217 3651 10953 88841 266523 422797 799569 1268391 3805173 30864181 92592543 277777629 514543949 1543631847 4630895541 37561708277 112685124831 338055374493