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5205025401141 = 3173726310488061
BaseRepresentation
bin100101110111110001110…
…1100001010100100110101
3200102121002011120122021210
41023233203230022210311
51140234343000314031
615023053342232033
71045023244626336
oct113574354124465
920377064518253
105205025401141
111727491164a45
12700928585619
132b9aa7596987
1413dcd305c28d
15905dbe68746
hex4bbe3b0a935

5205025401141 has 32 divisors (see below), whose sum is σ = 7575569134848. Its totient is φ = 3165548221440.

The previous prime is 5205025401133. The next prime is 5205025401151. The reversal of 5205025401141 is 1411045205025.

5205025401141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5205025401141 - 23 = 5205025401133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5205025401099 and 5205025401108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205025401151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4747750 + ... + 5740311.

It is an arithmetic number, because the mean of its divisors is an integer number (236736535464).

Almost surely, 25205025401141 is an apocalyptic number.

5205025401141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5205025401141 is a deficient number, since it is larger than the sum of its proper divisors (2370543733707).

5205025401141 is a wasteful number, since it uses less digits than its factorization.

5205025401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488381.

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 5205025401141 in words is "five trillion, two hundred five billion, twenty-five million, four hundred one thousand, one hundred forty-one".

Divisors: 1 3 17 37 51 111 263 629 789 1887 4471 9731 13413 29193 165427 496281 10488061 31464183 178297037 388058257 534891111 1164174771 2758360043 6596990369 8275080129 19790971107 46892120731 102059321591 140676362193 306177964773 1735008467047 5205025401141