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42882135143677 = 337401317323421
BaseRepresentation
bin10011100000000010001100…
…11011101011010011111101
312121211111021201200012202121
421300001012123223103331
521110040103044044202
6231111440402522541
712014063166413104
oct1160010633532375
9177744251605677
1042882135143677
1112733236398785
124986a18366451
131ac09ca38441b
14a8371386303b
154e56e1b65537
hex2700466eb4fd

42882135143677 has 8 divisors (see below), whose sum is σ = 43116637287672. Its totient is φ = 42648267648000.

The previous prime is 42882135143663. The next prime is 42882135143723. The reversal of 42882135143677 is 77634153128824.

42882135143677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14989487883876 + 27892647259801 = 3871626^2 + 5281349^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42882135143677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42882135183677) 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 7 ways as a sum of consecutive naturals, for example, 158526574 + ... + 158796847.

It is an arithmetic number, because the mean of its divisors is an integer number (5389579660959).

Almost surely, 242882135143677 is an apocalyptic number.

It is an amenable number.

42882135143677 is a deficient number, since it is larger than the sum of its proper divisors (234502143995).

42882135143677 is a wasteful number, since it uses less digits than its factorization.

42882135143677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317324159.

The product of its digits is 54190080, while the sum is 61.

The spelling of 42882135143677 in words is "forty-two trillion, eight hundred eighty-two billion, one hundred thirty-five million, one hundred forty-three thousand, six hundred seventy-seven".

Divisors: 1 337 401 135137 317323421 106937992877 127246691821 42882135143677