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2064320204544 = 28341310771569
BaseRepresentation
bin11110000010100011000…
…100101000111100000000
321022100101000122210020000
4132002203010220330000
5232310211433021134
64220200254120000
7302066531136213
oct36024304507400
97270330583200
102064320204544
11726522a36524
122940b47b0000
1311c8840662c0
1471cb100977a
1538a6eb55e99
hex1e0a3128f00

2064320204544 has 360 divisors, whose sum is σ = 6690969941040. Its totient is φ = 629230436352.

The previous prime is 2064320204501. The next prime is 2064320204549. The reversal of 2064320204544 is 4454020234602.

2064320204544 is a `hidden beast` number, since 2 + 0 + 64 + 32 + 0 + 20 + 4 + 544 = 666.

It is a super-2 number, since 2×20643202045442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2064320204499 and 2064320204508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064320204549) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28807992 + ... + 28879560.

It is an arithmetic number, because the mean of its divisors is an integer number (18586027614).

Almost surely, 22064320204544 is an apocalyptic number.

2064320204544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064320204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345484970520).

2064320204544 is an abundant number, since it is smaller than the sum of its proper divisors (4626649736496).

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

2064320204544 is a wasteful number, since it uses less digits than its factorization.

2064320204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71717 (or 71694 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 2064320204544 in words is "two trillion, sixty-four billion, three hundred twenty million, two hundred four thousand, five hundred forty-four".