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136050322500 = 22325424592
BaseRepresentation
bin111111010110100111…
…0110010110001000100
3111000011120200110210100
41332231032302301010
54212112340310000
6142300050324100
712554311442361
oct1765516626104
9430146613710
10136050322500
1152775950a64
122244ab89630
13caa250c711
146828c57468
1538140dba00
hex1fad3b2c44

136050322500 has 135 divisors (see below), whose sum is σ = 429918500011. Its totient is φ = 36265332000.

The previous prime is 136050322493. The next prime is 136050322519. The reversal of 136050322500 is 5223050631.

The square root of 136050322500 is 368850.

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

136050322500 is a `hidden beast` number, since 1 + 3 + 605 + 0 + 3 + 2 + 2 + 50 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10666345284 + 125383977216 = 103278^2 + 354096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55326271 + ... + 55328729.

Almost surely, 2136050322500 is an apocalyptic number.

136050322500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136050322500 is the 368850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136050322500

136050322500 is an abundant number, since it is smaller than the sum of its proper divisors (293868177511).

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

136050322500 is an frugal number, since it uses more digits than its factorization.

136050322500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 136050322500 in words is "one hundred thirty-six billion, fifty million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2459 2500 3750 4500 4918 5625 7377 7500 9836 11250 12295 14754 22131 22500 24590 29508 36885 44262 49180 61475 73770 88524 110655 122950 147540 184425 221310 245900 307375 368850 442620 553275 614750 737700 922125 1106550 1229500 1536875 1844250 2213100 2766375 3073750 3688500 4610625 5532750 6046681 6147500 9221250 11065500 12093362 13831875 18140043 18442500 24186724 27663750 30233405 36280086 54420129 55327500 60466810 72560172 90700215 108840258 120933620 151167025 181400430 217680516 272100645 302334050 362800860 453501075 544201290 604668100 755835125 907002150 1088402580 1360503225 1511670250 1814004300 2267505375 2721006450 3023340500 3779175625 4535010750 5442012900 6802516125 7558351250 9070021500 11337526875 13605032250 15116702500 22675053750 27210064500 34012580625 45350107500 68025161250 136050322500