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542135138094 = 2321189166918433
BaseRepresentation
bin1111110001110011100…
…01011011011100101110
31220211100022220111120200
413320321301123130232
532340243043404334
61053015313254330
754111420432504
oct7707161333456
91824308814520
10542135138094
11199a11174380
128909bb643a6
133c17a671a54
141c34d1c6674
15e17ecc3799
hex7e39c5b72e

542135138094 has 96 divisors (see below), whose sum is σ = 1296654933600. Its totient is φ = 162331361280.

The previous prime is 542135138089. The next prime is 542135138101. The reversal of 542135138094 is 490831531245.

542135138094 is a `hidden beast` number, since 5 + 4 + 213 + 51 + 380 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29401902 + ... + 29420334.

It is an arithmetic number, because the mean of its divisors is an integer number (13506822225).

Almost surely, 2542135138094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542135138094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648327466800).

542135138094 is an abundant number, since it is smaller than the sum of its proper divisors (754519795506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542135138094 is a wasteful number, since it uses less digits than its factorization.

542135138094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20210 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 542135138094 in words is "five hundred forty-two billion, one hundred thirty-five million, one hundred thirty-eight thousand, ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1669 1958 2937 3338 5007 5874 8811 10014 15021 17622 18359 18433 30042 36718 36866 55077 55299 110154 110598 148541 165231 165897 202763 297082 330462 331794 405526 445623 608289 891246 1216578 1336869 1633951 1640537 1824867 2673738 3267902 3281074 3649734 4901853 4921611 9803706 9843222 14705559 14764833 18045907 29411118 29529666 30764677 36091814 54137721 61529354 92294031 108275442 162413163 184588062 276882093 324826326 338411447 553764186 676822894 1015234341 2030468682 2738056253 3045703023 5476112506 6091406046 8214168759 16428337518 24642506277 30118618783 49285012554 60237237566 90355856349 180711712698 271067569047 542135138094