Search a number
-
+
36466117153140 = 22354179187640821
BaseRepresentation
bin10000100101010011011011…
…11101011001000101110100
311210010010102101220001200210
420102221231331121011310
514234430101442400030
6205320145234305420
710452406243341003
oct1022515575310564
9153103371801623
1036466117153140
111068a214510624
12410b464a28270
131746980ca14ac
14900d803b8c3a
15433879e37bb0
hex212a6df59174

36466117153140 has 96 divisors (see below), whose sum is σ = 105919491202560. Its totient is φ = 9367029734400.

The previous prime is 36466117153133. The next prime is 36466117153229. The reversal of 36466117153140 is 4135171166463.

It is a happy number.

36466117153140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36466117153140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93626071 + ... + 94014750.

It is an arithmetic number, because the mean of its divisors is an integer number (1103328033360).

Almost surely, 236466117153140 is an apocalyptic number.

36466117153140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36466117153140 is an abundant number, since it is smaller than the sum of its proper divisors (69453374049420).

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

36466117153140 is a wasteful number, since it uses less digits than its factorization.

36466117153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187640953 (or 187640951 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 36466117153140 in words is "thirty-six trillion, four hundred sixty-six billion, one hundred seventeen million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 79 82 123 158 164 205 237 246 316 395 410 474 492 615 790 820 948 1185 1230 1580 2370 2460 3239 4740 6478 9717 12956 16195 19434 32390 38868 48585 64780 97170 194340 187640821 375281642 562922463 750563284 938204105 1125844926 1876408210 2251689852 2814612315 3752816420 5629224630 7693273661 11258449260 14823624859 15386547322 23079820983 29647249718 30773094644 38466368305 44470874577 46159641966 59294499436 74118124295 76932736610 88941749154 92319283932 115399104915 148236248590 153865473220 177883498308 222354372885 230798209830 296472497180 444708745770 461596419660 607768619219 889417491540 1215537238438 1823305857657 2431074476876 3038843096095 3646611715314 6077686192190 7293223430628 9116529288285 12155372384380 18233058576570 36466117153140