Search a number
-
+
361313626625640 = 233351325734588791
BaseRepresentation
bin101001000100111001110001…
…0010111100001011001101000
31202101022020121212120212022000
41102021303202113201121220
5334324230301404010030
63320241104424131000
7136051022330626563
oct12211634227413150
91671266555525260
10361313626625640
11a51422808922a7
1234635002606a60
131267b96220b120
14653195c39b4da
152bb88e37b5860
hex1489ce25e1668

361313626625640 has 128 divisors (see below), whose sum is σ = 1297023275116800. Its totient is φ = 88938738858240.

The previous prime is 361313626625617. The next prime is 361313626625669. The reversal of 361313626625640 is 46526626313163.

361313626625640 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 1 + 3 + 6 + 2 + 6 + 625 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12867280356 + ... + 12867308435.

It is an arithmetic number, because the mean of its divisors is an integer number (10132994336850).

Almost surely, 2361313626625640 is an apocalyptic number.

361313626625640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361313626625640 is an abundant number, since it is smaller than the sum of its proper divisors (935709648491160).

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

361313626625640 is a wasteful number, since it uses less digits than its factorization.

361313626625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25734588824 (or 25734588814 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 361313626625640 in words is "three hundred sixty-one trillion, three hundred thirteen billion, six hundred twenty-six million, six hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 25734588791 51469177582 77203766373 102938355164 128672943955 154407532746 205876710328 231611299119 257345887910 308815065492 334549654283 386018831865 463222598238 514691775820 617630130984 669099308566 694833897357 772037663730 926445196476 1003648962849 1029383551640 1158056495595 1338198617132 1389667794714 1544075327460 1672748271415 1852890392952 2007297925698 2316112991190 2676397234264 2779335589428 3010946888547 3088150654920 3345496542830 3474169486785 4014595851396 4632225982380 5018244814245 5558671178856 6021893777094 6690993085660 6948338973570 8029191702792 9032840665641 9264451964760 10036489628490 12043787554188 13381986171320 13896677947140 15054734442735 18065681331282 20072979256980 24087575108376 27793355894280 30109468885470 36131362662564 40145958513960 45164203328205 60218937770940 72262725325128 90328406656410 120437875541880 180656813312820 361313626625640