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87856509846349 is a prime number
BaseRepresentation
bin10011111110011110110000…
…000011111000001101001101
3102112002000000020012101000001
4103332132300003320031031
543003420113010040344
6510504420132404301
724335265134010316
oct2376366003701515
9375060006171001
1087856509846349
1125aa2811437132
129a2b21b476691
133a03aaaa946ca
14179a3c628b60d
15a25539567ed4
hex4fe7b00f834d

87856509846349 has 2 divisors, whose sum is σ = 87856509846350. Its totient is φ = 87856509846348.

The previous prime is 87856509846331. The next prime is 87856509846373. The reversal of 87856509846349 is 94364890565878.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84816916352100 + 3039593494249 = 9209610^2 + 1743443^2 .

It is a cyclic number.

It is not a de Polignac number, because 87856509846349 - 243 = 79060416824141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87856509846649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43928254923174 + 43928254923175.

It is an arithmetic number, because the mean of its divisors is an integer number (43928254923175).

Almost surely, 287856509846349 is an apocalyptic number.

It is an amenable number.

87856509846349 is a deficient number, since it is larger than the sum of its proper divisors (1).

87856509846349 is an equidigital number, since it uses as much as digits as its factorization.

87856509846349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12541132800, while the sum is 82.

The spelling of 87856509846349 in words is "eighty-seven trillion, eight hundred fifty-six billion, five hundred nine million, eight hundred forty-six thousand, three hundred forty-nine".