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107548017837553 is a prime number
BaseRepresentation
bin11000011101000001111001…
…011001100100010111110001
3112002210111020021112002211101
4120131001321121210113301
5103044031320031300203
61020422513300244401
731440042066154456
oct3035017131442761
9462714207462741
10107548017837553
11312a4949330a87
121008b6396a0701
134801971abba67
141c7b4cd62782d
15c6788645941d
hex61d0796645f1

107548017837553 has 2 divisors, whose sum is σ = 107548017837554. Its totient is φ = 107548017837552.

The previous prime is 107548017837551. The next prime is 107548017837643. The reversal of 107548017837553 is 355738710845701.

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., 82746093934144 + 24801923903409 = 9096488^2 + 4980153^2 .

It is an emirp because it is prime and its reverse (355738710845701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107548017837553 - 21 = 107548017837551 is a prime.

It is a super-2 number, since 2×1075480178375532 (a number of 29 digits) contains 22 as substring.

Together with 107548017837551, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (107548017837551) 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 as a sum of consecutive naturals, namely, 53774008918776 + 53774008918777.

It is an arithmetic number, because the mean of its divisors is an integer number (53774008918777).

Almost surely, 2107548017837553 is an apocalyptic number.

It is an amenable number.

107548017837553 is a deficient number, since it is larger than the sum of its proper divisors (1).

107548017837553 is an equidigital number, since it uses as much as digits as its factorization.

107548017837553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784000, while the sum is 64.

The spelling of 107548017837553 in words is "one hundred seven trillion, five hundred forty-eight billion, seventeen million, eight hundred thirty-seven thousand, five hundred fifty-three".