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523312626601116 = 2232111321496531821
BaseRepresentation
bin111011011111100110011011…
…1001101110000110010011100
32112121220012100201102020202200
41312333030313031300302130
51022042423224402213431
65052554300220251500
7215141042505503352
oct16677146715606234
92477805321366680
10523312626601116
1114181a702a91110
124a8395ab9a0b90
131960022721b511
14933267563d7d2
154077867e2bee6
hex1dbf337370c9c

523312626601116 has 36 divisors (see below), whose sum is σ = 1443074212749624. Its totient is φ = 158579583818400.

The previous prime is 523312626601057. The next prime is 523312626601183. The reversal of 523312626601116 is 611106626213325.

It is a happy number.

523312626601116 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 1 + 2 + 6 + 26 + 601 + 1 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5233126266011162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660748265515 + ... + 660748266306.

Almost surely, 2523312626601116 is an apocalyptic number.

It is an amenable number.

523312626601116 is an abundant number, since it is smaller than the sum of its proper divisors (919761586148508).

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

523312626601116 is a wasteful number, since it uses less digits than its factorization.

523312626601116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321496531842 (or 1321496531837 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 523312626601116 in words is "five hundred twenty-three trillion, three hundred twelve billion, six hundred twenty-six million, six hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1321496531821 2642993063642 3964489595463 5285986127284 7928979190926 11893468786389 14536461850031 15857958381852 23786937572778 29072923700062 43609385550093 47573875145556 58145847400124 87218771100186 130828156650279 174437542200372 261656313300558 523312626601116