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338087534013 = 3443103393967
BaseRepresentation
bin1001110101101111001…
…01100101110110111101
31012022122220100020010000
410322313211211312331
521014400402042023
6415152033104513
733266060423505
oct4726745456675
91168586306100
10338087534013
11120422665339
12556349b8139
1325b5c904498
141251371ca05
158bdb324243
hex4eb7965dbd

338087534013 has 40 divisors (see below), whose sum is σ = 517295343488. Its totient is φ = 219934564416.

The previous prime is 338087534011. The next prime is 338087534063. The reversal of 338087534013 is 310435780833.

338087534013 is a `hidden beast` number, since 3 + 38 + 0 + 87 + 534 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 338087534013 - 21 = 338087534011 is a prime.

It is a super-2 number, since 2×3380875340132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338087534013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338087534011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3550956 + ... + 3644922.

Almost surely, 2338087534013 is an apocalyptic number.

It is an amenable number.

338087534013 is a deficient number, since it is larger than the sum of its proper divisors (179207809475).

338087534013 is a wasteful number, since it uses less digits than its factorization.

338087534013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95055 (or 95046 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 338087534013 in words is "three hundred thirty-eight billion, eighty-seven million, five hundred thirty-four thousand, thirteen".

Divisors: 1 3 9 27 43 81 129 387 1033 1161 3099 3483 9297 27891 44419 83673 93967 133257 281901 399771 845703 1199313 2537109 3597939 4040581 7611327 12121743 36365229 97067911 109095687 291203733 327287061 873611199 2620833597 4173920173 7862500791 12521760519 37565281557 112695844671 338087534013