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38678632707276 = 223237251691167423
BaseRepresentation
bin10001100101101100100100…
…01010011011010011001100
312001221122022102020121211100
420302312102022123103030
520032202314433113101
6214132415113223100
711101303401265062
oct1062662212332314
9161848272217740
1038678632707276
11113625748a4681
124408217a01a90
1318774c1759263
1497a0ad20c032
154711beee6e86
hex232d9229b4cc

38678632707276 has 144 divisors (see below), whose sum is σ = 100959999049728. Its totient is φ = 12476287440000.

The previous prime is 38678632707191. The next prime is 38678632707289. The reversal of 38678632707276 is 67270723687683.

38678632707276 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 86 + 3 + 270 + 7 + 276 = 666.

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, 230939701 + ... + 231107123.

It is an arithmetic number, because the mean of its divisors is an integer number (701111104512).

Almost surely, 238678632707276 is an apocalyptic number.

38678632707276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38678632707276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50479999524864).

38678632707276 is an abundant number, since it is smaller than the sum of its proper divisors (62281366342452).

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

38678632707276 is a wasteful number, since it uses less digits than its factorization.

38678632707276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168412 (or 168407 counting only the distinct ones).

The product of its (nonzero) digits is 1194891264, while the sum is 72.

The spelling of 38678632707276 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty-two million, seven hundred seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 251 333 444 502 666 691 753 1004 1332 1382 1506 2073 2259 2764 3012 4146 4518 6219 8292 9036 9287 12438 18574 24876 25567 27861 37148 51134 55722 76701 83583 102268 111444 153402 167166 167423 173441 230103 306804 334332 334846 346882 460206 502269 520323 669692 693764 920412 1004538 1040646 1506807 1560969 2009076 2081292 3013614 3121938 6027228 6194651 6243876 6417317 12389302 12834634 18583953 19251951 24778604 25669268 37167906 38503902 42023173 55751859 57755853 74335812 77007804 84046346 111503718 115511706 115689293 126069519 168092692 223007436 231023412 231378586 252139038 347067879 378208557 462757172 504278076 694135758 756417114 1041203637 1388271516 1512834228 1554857401 2082407274 3109714802 4164814548 4280503841 4664572203 6219429604 8561007682 9329144406 12841511523 13993716609 17122015364 18658288812 25683023046 27987433218 29038012543 38524534569 51366046092 55974866436 58076025086 77049069138 87114037629 116152050172 154098138276 174228075258 261342112887 348456150516 522684225774 1045368451548 1074406464091 2148812928182 3223219392273 4297625856364 6446438784546 9669658176819 12892877569092 19339316353638 38678632707276