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42161414525 = 5219317095113
BaseRepresentation
bin100111010001000001…
…000010000101111101
311000211022010202211022
4213101001002011331
51142321310231100
631211345233525
73021541052606
oct472101020575
9130738122738
1042161414525
111697602383a
1282079328a5
133c8bac4179
14207d682dad
15116b630e85
hex9d104217d

42161414525 has 24 divisors (see below), whose sum is σ = 52592069160. Its totient is φ = 33528176640.

The previous prime is 42161414521. The next prime is 42161414557. The reversal of 42161414525 is 52541416124.

It can be written as a sum of positive squares in 12 ways, for example, as 36093160324 + 6068254201 = 189982^2 + 77899^2 .

It is not a de Polignac number, because 42161414525 - 22 = 42161414521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161414521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8243369 + ... + 8248481.

It is an arithmetic number, because the mean of its divisors is an integer number (2191336215).

Almost surely, 242161414525 is an apocalyptic number.

It is an amenable number.

42161414525 is a deficient number, since it is larger than the sum of its proper divisors (10430654635).

42161414525 is a wasteful number, since it uses less digits than its factorization.

42161414525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7020 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The spelling of 42161414525 in words is "forty-two billion, one hundred sixty-one million, four hundred fourteen thousand, five hundred twenty-five".

Divisors: 1 5 25 193 965 1709 4825 5113 8545 25565 42725 127825 329837 986809 1649185 4934045 8245925 8738117 24670225 43690585 218452925 1686456581 8432282905 42161414525