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634453343354436 = 223233710118127712269
BaseRepresentation
bin1001000001000010000010111…
…0001010000011111001000100
310002012102010222100210011211020
42100100200232022003321010
51131124340421344320221
610125211501531111140
7250431512204620344
oct22020405612037104
93065363870704736
10634453343354436
1117417a174182751
125b1a9384ba24b0
13213029029a4288
14b2959c44b0d24
154d538c29a8ac6
hex241082e283e44

634453343354436 has 384 divisors, whose sum is σ = 1617014029962240. Its totient is φ = 193081439232000.

The previous prime is 634453343354387. The next prime is 634453343354497.

634453343354436 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 634453343354436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51711897310 + ... + 51711909578.

It is an arithmetic number, because the mean of its divisors is an integer number (4210974036360).

Almost surely, 2634453343354436 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 634453343354436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808507014981120).

634453343354436 is an abundant number, since it is smaller than the sum of its proper divisors (982560686607804).

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

634453343354436 is a wasteful number, since it uses less digits than its factorization.

634453343354436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12893 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 60.

The spelling of 634453343354436 in words is "six hundred thirty-four trillion, four hundred fifty-three billion, three hundred forty-three million, three hundred fifty-four thousand, four hundred thirty-six".