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10086288448381 is a prime number
BaseRepresentation
bin1001001011000110010110…
…1000111101101101111101
31022201020110210011121021221
42102301211220331231331
52310223204320322011
633241324341553341
72060465426142535
oct222614550755575
938636423147257
1010086288448381
113239630975482
12116a959715851
13582196040cc2
1426c2711204c5
1512757a525971
hex92c65a3db7d

10086288448381 has 2 divisors, whose sum is σ = 10086288448382. Its totient is φ = 10086288448380.

The previous prime is 10086288448367. The next prime is 10086288448427. The reversal of 10086288448381 is 18384488268001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5278942784025 + 4807345664356 = 2297595^2 + 2192566^2 .

It is a cyclic number.

It is not a de Polignac number, because 10086288448381 - 29 = 10086288447869 is a prime.

It is a super-2 number, since 2×100862884483812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10086288448361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5043144224190 + 5043144224191.

It is an arithmetic number, because the mean of its divisors is an integer number (5043144224191).

Almost surely, 210086288448381 is an apocalyptic number.

It is an amenable number.

10086288448381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086288448381 is an equidigital number, since it uses as much as digits as its factorization.

10086288448381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18874368, while the sum is 61.

The spelling of 10086288448381 in words is "ten trillion, eighty-six billion, two hundred eighty-eight million, four hundred forty-eight thousand, three hundred eighty-one".