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2083791060576 = 253324150919661
BaseRepresentation
bin11110010100101011101…
…000000011111001100000
321101012121222111202102000
4132110223220003321200
5233120101002414301
64233140322124000
7303356166524301
oct36245350037140
97335558452360
102083791060576
11733804802885
12297a294b0600
13121667c236a4
1472bdad107a8
153930e1ed786
hex1e52ba03e60

2083791060576 has 192 divisors, whose sum is σ = 6115243780800. Its totient is φ = 690320793600.

The previous prime is 2083791060551. The next prime is 2083791060577. The reversal of 2083791060576 is 6750601973802.

2083791060576 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 7 + 9 + 1 + 0 + 60 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083791060577) by changing a digit.

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, 105976186 + ... + 105995846.

It is an arithmetic number, because the mean of its divisors is an integer number (31850228025).

Almost surely, 22083791060576 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 2083791060576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057621890400).

2083791060576 is an abundant number, since it is smaller than the sum of its proper divisors (4031452720224).

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

2083791060576 is a wasteful number, since it uses less digits than its factorization.

2083791060576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20430 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2083791060576 in words is "two trillion, eighty-three billion, seven hundred ninety-one million, sixty thousand, five hundred seventy-six".