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338668838517 = 37910117218221
BaseRepresentation
bin1001110110110100011…
…11000101111001110101
31012101011102011112222110
410323122033011321311
521022043210313032
6415325440321233
733316346426022
oct4733217057165
91171142145873
10338668838517
111206a0803a89
1255777613219
1325c23185649
141256a9da549
158c2239c7cc
hex4eda3c5e75

338668838517 has 32 divisors (see below), whose sum is σ = 462126389760. Its totient is φ = 220559040000.

The previous prime is 338668838447. The next prime is 338668838549. The reversal of 338668838517 is 715838866833.

It is not a de Polignac number, because 338668838517 - 230 = 337595096693 is a prime.

It is a super-2 number, since 2×3386688385172 (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 (338668838587) 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 31 ways as a sum of consecutive naturals, for example, 41191467 + ... + 41199687.

It is an arithmetic number, because the mean of its divisors is an integer number (14441449680).

Almost surely, 2338668838517 is an apocalyptic number.

It is an amenable number.

338668838517 is a deficient number, since it is larger than the sum of its proper divisors (123457551243).

338668838517 is a wasteful number, since it uses less digits than its factorization.

338668838517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125.

The product of its digits is 139345920, while the sum is 66.

The spelling of 338668838517 in words is "three hundred thirty-eight billion, six hundred sixty-eight million, eight hundred thirty-eight thousand, five hundred seventeen".

Divisors: 1 3 79 101 237 303 1721 5163 7979 8221 23937 24663 135959 173821 407877 521463 649459 830321 1948377 2490963 13731859 14148341 41195577 42445023 65595359 196786077 1117718939 1428982441 3353156817 4286947323 112889612839 338668838517