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2065522322464 = 252343101646193
BaseRepresentation
bin11110000011101010101…
…110010110110000100000
321022110110210122200222221
4132003222232112300200
5232320142203304324
64220515435440424
7302141366025166
oct36035256266040
97273423580887
102065522322464
11726a8a559507
1229438b2b6114
1311ca1611c793
1471d8692b236
1538ae045e0e4
hex1e0eab96c20

2065522322464 has 96 divisors (see below), whose sum is σ = 4384979432064. Its totient is φ = 955330252800.

The previous prime is 2065522322449. The next prime is 2065522322491. The reversal of 2065522322464 is 4642232255602.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 2065522322464.

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 15 ways as a sum of consecutive naturals, for example, 2873352 + ... + 3519544.

It is an arithmetic number, because the mean of its divisors is an integer number (45676869084).

Almost surely, 22065522322464 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 2065522322464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192489716032).

2065522322464 is an abundant number, since it is smaller than the sum of its proper divisors (2319457109600).

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

2065522322464 is a wasteful number, since it uses less digits than its factorization.

2065522322464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646370 (or 646362 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

The spelling of 2065522322464 in words is "two trillion, sixty-five billion, five hundred twenty-two million, three hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 101 172 184 202 344 368 404 688 736 808 989 1376 1616 1978 2323 3232 3956 4343 4646 7912 8686 9292 15824 17372 18584 31648 34744 37168 69488 74336 99889 138976 199778 399556 646193 799112 1292386 1598224 2584772 3196448 5169544 10339088 14862439 20678176 27786299 29724878 55572598 59449756 65265493 111145196 118899512 130530986 222290392 237799024 261061972 444580784 475598048 522123944 639084877 889161568 1044247888 1278169754 1501106339 2088495776 2556339508 2806416199 3002212678 5112679016 5612832398 6004425356 10225358032 11225664796 12008850712 20450716064 22451329592 24017701424 44902659184 48035402848 64547572577 89805318368 129095145154 258190290308 516380580616 1032761161232 2065522322464