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540225113652 = 2232721323100537
BaseRepresentation
bin1111101110001111110…
…11010000111000110100
31220122102012212012121200
413313013323100320310
532322340112114102
61052102003012500
754013165462230
oct7670773207064
91818365765550
10540225113652
11199120aa1784
128884836a130
133bc34a3b483
141c20b66d5c0
15e0bc28551c
hex7dc7ed0e34

540225113652 has 72 divisors (see below), whose sum is σ = 1560739043136. Its totient is φ = 154341258624.

The previous prime is 540225113621. The next prime is 540225113689. The reversal of 540225113652 is 256311522045.

540225113652 is a `hidden beast` number, since 5 + 40 + 2 + 251 + 1 + 365 + 2 = 666.

540225113652 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 5323128 + ... + 5423664.

Almost surely, 2540225113652 is an apocalyptic number.

It is an amenable number.

540225113652 is an abundant number, since it is smaller than the sum of its proper divisors (1020513929484).

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

540225113652 is a wasteful number, since it uses less digits than its factorization.

540225113652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121877 (or 121872 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 540225113652 its reverse (256311522045), we get a palindrome (796536635697).

The spelling of 540225113652 in words is "five hundred forty billion, two hundred twenty-five million, one hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 21323 42646 63969 85292 100537 127938 149261 191907 201074 255876 298522 301611 383814 402148 447783 597044 603222 703759 767628 895566 904833 1206444 1343349 1407518 1791132 1809666 2111277 2686698 2815036 3619332 4222554 5373396 6333831 8445108 12667662 25335324 2143750451 4287500902 6431251353 8575001804 12862502706 15006253157 19293754059 25725005412 30012506314 38587508118 45018759471 60025012628 77175016236 90037518942 135056278413 180075037884 270112556826 540225113652