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39028373136 = 243210121632
BaseRepresentation
bin100100010110010001…
…011011011010010000
310201201221202210000100
4210112101123122100
51114412230420021
625532425252400
72551105461264
oct442621333220
9121657683010
1039028373136
1115608554435
127692634100
1338ac99aa1c
141c635280a4
15103655c626
hex91645b690

39028373136 has 135 divisors (see below), whose sum is σ = 110998329897. Its totient is φ = 12801628800.

The previous prime is 39028373117. The next prime is 39028373179. The reversal of 39028373136 is 63137382093.

The square root of 39028373136 is 197556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37497998736 + 1530374400 = 193644^2 + 39120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39028373091 and 39028373100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239437791 + ... + 239437953.

Almost surely, 239028373136 is an apocalyptic number.

39028373136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39028373136 is the 197556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39028373136

39028373136 is an abundant number, since it is smaller than the sum of its proper divisors (71969956761).

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

39028373136 is a wasteful number, since it uses less digits than its factorization.

39028373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

It can be divided in two parts, 39028 and 373136, that added together give a square (412164 = 6422).

The spelling of 39028373136 in words is "thirty-nine billion, twenty-eight million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 163 202 303 326 404 489 606 652 808 909 978 1212 1304 1467 1616 1818 1956 2424 2608 2934 3636 3912 4848 5868 7272 7824 10201 11736 14544 16463 20402 23472 26569 30603 32926 40804 49389 53138 61206 65852 79707 81608 91809 98778 106276 122412 131704 148167 159414 163216 183618 197556 212552 239121 244824 263408 296334 318828 367236 395112 425104 478242 489648 592668 637656 734472 790224 956484 1185336 1275312 1468944 1662763 1912968 2370672 2683469 3325526 3825936 4988289 5366938 6651052 8050407 9976578 10733876 13302104 14964867 16100814 19953156 21467752 24151221 26604208 29929734 32201628 39906312 42935504 48302442 59859468 64403256 79812624 96604884 119718936 128806512 193209768 239437872 271030369 386419536 542060738 813091107 1084121476 1626182214 2168242952 2439273321 3252364428 4336485904 4878546642 6504728856 9757093284 13009457712 19514186568 39028373136