Search a number
-
+
36252542340 = 22325743669113
BaseRepresentation
bin100001110000110100…
…011110010110000100
310110120111112222000100
4201300310132112010
51043221122323330
624353145444100
72422241345160
oct416064362604
9113514488010
1036252542340
11144136846a3
127038aa0630
1335598837b1
141a7c9d5ca0
15e229e9060
hex870d1e584

36252542340 has 144 divisors (see below), whose sum is σ = 128598357888. Its totient is φ = 8093578752.

The previous prime is 36252542233. The next prime is 36252542357. The reversal of 36252542340 is 4324525263.

36252542340 is a `hidden beast` number, since 3 + 62 + 5 + 254 + 2 + 340 = 666.

It is a super-2 number, since 2×362525423402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36252542295 and 36252542304.

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, 280377 + ... + 388736.

It is an arithmetic number, because the mean of its divisors is an integer number (893044152).

Almost surely, 236252542340 is an apocalyptic number.

36252542340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36252542340 is an abundant number, since it is smaller than the sum of its proper divisors (92345815548).

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

36252542340 is a wasteful number, since it uses less digits than its factorization.

36252542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669178 (or 669173 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 36252542340 in words is "thirty-six billion, two hundred fifty-two million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1505 1548 1806 1935 2580 2709 3010 3612 3870 4515 5418 6020 7740 9030 10836 13545 18060 27090 54180 669113 1338226 2007339 2676452 3345565 4014678 4683791 6022017 6691130 8029356 9367582 10036695 12044034 13382260 14051373 18735164 20073390 23418955 24088068 28102746 28771859 30110085 40146780 42154119 46837910 56205492 57543718 60220170 70256865 84308238 86315577 93675820 115087436 120440340 140513730 143859295 168616476 172631154 201403013 210770595 258946731 281027460 287718590 345262308 402806026 421541190 431577885 517893462 575437180 604209039 805612052 843082380 863155770 1007015065 1035786924 1208418078 1294733655 1726311540 1812627117 2014030130 2416836156 2589467310 3021045195 3625254234 4028060260 5178934620 6042090390 7250508468 9063135585 12084180780 18126271170 36252542340