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2064190228848 = 243211193715711807
BaseRepresentation
bin11110000010011011010…
…100110100100101110000
321022100000222002100002100
4132002123110310211300
5232304430144310343
64220135332220400
7302063362306266
oct36023324644560
97270028070070
102064190228848
117264666308a0
1229407916a700
1311c8631588c7
1471c9ba54436
1538a6352e9d3
hex1e09b534970

2064190228848 has 480 divisors, whose sum is σ = 6856986839040. Its totient is φ = 572853565440.

The previous prime is 2064190228823. The next prime is 2064190228889. The reversal of 2064190228848 is 8488220914602.

It is a super-2 number, since 2×20641902288482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2064190228794 and 2064190228803.

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 95 ways as a sum of consecutive naturals, for example, 174821761 + ... + 174833567.

It is an arithmetic number, because the mean of its divisors is an integer number (14285389248).

Almost surely, 22064190228848 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 2064190228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428493419520).

2064190228848 is an abundant number, since it is smaller than the sum of its proper divisors (4792796610192).

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

2064190228848 is a wasteful number, since it uses less digits than its factorization.

2064190228848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12036 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2064190228848 in words is "two trillion, sixty-four billion, one hundred ninety million, two hundred twenty-eight thousand, eight hundred forty-eight".