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338382268497 = 337131271084423
BaseRepresentation
bin1001110110010010010…
…01111010100001010001
31012100102102221021211000
410323021021322201101
521021001330042442
6415241202212213
733306266552640
oct4731111724121
91170372837730
10338382268497
11120563a72759
12556b7654069
1325ba89aa6a0
1412540921357
158c07142d4c
hex4ec927a851

338382268497 has 64 divisors (see below), whose sum is σ = 621852098560. Its totient is φ = 177081774912.

The previous prime is 338382268439. The next prime is 338382268507. The reversal of 338382268497 is 794862283833.

It is a happy number.

338382268497 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 82 + 2 + 68 + 497 = 666.

It is not a de Polignac number, because 338382268497 - 219 = 338381744209 is a prime.

It is a super-2 number, since 2×3383822684972 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (338382268997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230173 + ... + 854250.

It is an arithmetic number, because the mean of its divisors is an integer number (9716439040).

Almost surely, 2338382268497 is an apocalyptic number.

It is an amenable number.

338382268497 is a deficient number, since it is larger than the sum of its proper divisors (283469830063).

338382268497 is a wasteful number, since it uses less digits than its factorization.

338382268497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084579 (or 1084573 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 338382268497 in words is "three hundred thirty-eight billion, three hundred eighty-two million, two hundred sixty-eight thousand, four hundred ninety-seven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 127 189 273 351 381 819 889 1143 1651 2457 2667 3429 4953 8001 11557 14859 24003 34671 44577 104013 312039 1084423 3253269 7590961 9759807 14097499 22772883 29279421 42292497 68318649 98682493 126877491 137721721 204955947 296047479 380632473 413165163 888142437 964052047 1239495489 1790382373 2664427311 2892156141 3718486467 5371147119 8676468423 12532676611 16113441357 26029405269 37598029833 48340324071 112794089499 338382268497