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236238504138 = 232721357136083
BaseRepresentation
bin1101110000000011101…
…0011000000011001010
3211120202212102102201100
43130000322120003022
512332304024113023
6300305415002230
723032132103400
oct3340072300312
9746685372640
10236238504138
119120852777a
123994b969376
131937acc9030
14b610ca1470
156229ae8c43
hex3700e980ca

236238504138 has 144 divisors (see below), whose sum is σ = 642359573856. Its totient is φ = 62193821760.

The previous prime is 236238504127. The next prime is 236238504163. The reversal of 236238504138 is 831405832632.

236238504138 is a `hidden beast` number, since 2 + 3 + 6 + 2 + 3 + 8 + 504 + 138 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 236238504093 and 236238504102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6529045 + ... + 6565127.

It is an arithmetic number, because the mean of its divisors is an integer number (4460830374).

Almost surely, 2236238504138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236238504138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321179786928).

236238504138 is an abundant number, since it is smaller than the sum of its proper divisors (406121069718).

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

236238504138 is a wasteful number, since it uses less digits than its factorization.

236238504138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36689 (or 36679 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 236238504138 in words is "two hundred thirty-six billion, two hundred thirty-eight million, five hundred four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 571 637 819 882 1142 1274 1638 1713 1911 3426 3822 3997 5139 5733 7423 7994 10278 11466 11991 14846 22269 23982 27979 35973 36083 44538 51961 55958 66807 71946 72166 83937 103922 108249 133614 155883 167874 216498 251811 252581 311766 324747 363727 467649 469079 503622 505162 649494 727454 757743 935298 938158 1091181 1407237 1515486 1768067 2182362 2273229 2814474 3273543 3283553 3536134 4221711 4546458 5304201 6547086 6567106 8443422 9850659 10608402 15912603 19701318 20603393 22984871 29551977 31825206 41206786 45969742 59103954 61810179 68954613 123620358 137909226 144223751 185430537 206863839 267844109 288447502 370861074 413727678 432671253 535688218 803532327 865342506 1009566257 1298013759 1607064654 1874908763 2019132514 2410596981 2596027518 3028698771 3749817526 4821193962 5624726289 6057397542 9086096313 11249452578 13124361341 16874178867 18172192626 26248722682 33748357734 39373084023 78746168046 118119252069 236238504138