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12632054413644 = 22331717413951869
BaseRepresentation
bin1011011111010010000100…
…0111011011100101001100
31122201121112120222002101000
42313310201013123211030
53123430421412214034
642511030301420300
72442431040620361
oct267644107334514
948647476862330
1012632054413644
114030251443846
12150021556a690
1370827522b853
1431957508c468
1516d8c6e27599
hexb7d211db94c

12632054413644 has 96 divisors (see below), whose sum is σ = 34696154001600. Its totient is φ = 3960720184320.

The previous prime is 12632054413621. The next prime is 12632054413681. The reversal of 12632054413644 is 44631445023621.

12632054413644 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 0 + 544 + 1 + 36 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12632054413644.

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, 1220542 + ... + 5172410.

It is an arithmetic number, because the mean of its divisors is an integer number (361418270850).

Almost surely, 212632054413644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12632054413644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348077000800).

12632054413644 is an abundant number, since it is smaller than the sum of its proper divisors (22064099587956).

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

12632054413644 is a wasteful number, since it uses less digits than its factorization.

12632054413644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953640 (or 3953632 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 12632054413644 in words is "twelve trillion, six hundred thirty-two billion, fifty-four million, four hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1741 1836 3482 5223 6964 10446 15669 20892 29597 31338 47007 59194 62676 88791 94014 118388 177582 188028 266373 355164 532746 799119 1065492 1598238 3196476 3951869 7903738 11855607 15807476 23711214 35566821 47422428 67181773 71133642 106700463 134363546 142267284 201545319 213400926 268727092 403090638 426801852 604635957 806181276 1209271914 1813907871 2418543828 3627815742 6880203929 7255631484 13760407858 20640611787 27520815716 41281223574 61921835361 82562447148 116963466793 123843670722 185765506083 233926933586 247687341444 350890400379 371531012166 467853867172 701780800758 743062024332 1052671201137 1403561601516 2105342402274 3158013603411 4210684804548 6316027206822 12632054413644