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87835704881 is a prime number
BaseRepresentation
bin101000111001101101…
…0100111111000110001
322101201102101010100212
41101303122213320301
52414341420024011
6104203503553505
76226436113151
oct1216332477061
9271642333325
1087835704881
1134283a69141
1215033bbb895
13838a612492
1443736b6761
15244136408b
hex14736a7e31

87835704881 has 2 divisors, whose sum is σ = 87835704882. Its totient is φ = 87835704880.

The previous prime is 87835704871. The next prime is 87835704883. The reversal of 87835704881 is 18840753878.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55582777600 + 32252927281 = 235760^2 + 179591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87835704881 is a prime.

It is a super-2 number, since 2×878357048812 (a number of 23 digits) contains 22 as substring.

Together with 87835704883, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87835704881.

It is not a weakly prime, because it can be changed into another prime (87835704883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43917852440 + 43917852441.

It is an arithmetic number, because the mean of its divisors is an integer number (43917852441).

Almost surely, 287835704881 is an apocalyptic number.

It is an amenable number.

87835704881 is a deficient number, since it is larger than the sum of its proper divisors (1).

87835704881 is an equidigital number, since it uses as much as digits as its factorization.

87835704881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12042240, while the sum is 59.

The spelling of 87835704881 in words is "eighty-seven billion, eight hundred thirty-five million, seven hundred four thousand, eight hundred eighty-one".