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54521024225646 = 23111018239937997
BaseRepresentation
bin11000110010110001010100…
…10010000010000101101110
321011001011021220212000000110
430121120222102002011232
524121233024200210041
6311542340204440450
714325004543320246
oct1431305222020556
9234034256760013
1054521024225646
11164102668a7050
126146658849126
1324564062b3b84
14d66b900a8b26
1564833c383516
hex31962a48216e

54521024225646 has 64 divisors (see below), whose sum is σ = 120278715250176. Its totient is φ = 16338065424000.

The previous prime is 54521024225627. The next prime is 54521024225671. The reversal of 54521024225646 is 64652242012545.

It is a super-2 number, since 2×545210242256462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54521024225595 and 54521024225604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517120 + ... + 10455116.

It is an arithmetic number, because the mean of its divisors is an integer number (1879354925784).

Almost surely, 254521024225646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54521024225646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60139357625088).

54521024225646 is an abundant number, since it is smaller than the sum of its proper divisors (65757691024530).

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

54521024225646 is a wasteful number, since it uses less digits than its factorization.

54521024225646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938937.

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 54521024225646 in words is "fifty-four trillion, five hundred twenty-one billion, twenty-four million, two hundred twenty-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 823 1111 1646 2222 2469 3333 4938 6666 9053 18106 27159 54318 83123 166246 249369 498738 914353 1828706 2743059 5486118 9937997 19875994 29813991 59627982 109317967 218635934 327953901 655907802 1003737697 2007475394 3011213091 6022426182 8178971531 11041114667 16357943062 22082229334 24536914593 33123344001 49073829186 66246688002 89968686841 179937373682 269906060523 539812121046 826076124631 1652152249262 2478228373893 4956456747786 9086837370941 18173674741882 27260512112823 54521024225646