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81062257105 = 51729101325597
BaseRepresentation
bin100101101111110101…
…1111110000111010001
321202020100221022210201
41023133223332013101
52312003414211410
6101123421255201
75566540550044
oct1133753760721
9252210838721
1081062257105
1131418592615
1213863704501
13784b22c40b
143ccdc90c5b
15219689b83a
hex12dfafe1d1

81062257105 has 32 divisors (see below), whose sum is σ = 107603627040. Its totient is φ = 58346803200.

The previous prime is 81062257063. The next prime is 81062257123. The reversal of 81062257105 is 50175226018.

It can be written as a sum of positive squares in 16 ways, for example, as 2307937681 + 78754319424 = 48041^2 + 280632^2 .

It is a de Polignac number, because none of the positive numbers 2k-81062257105 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86167 + ... + 411763.

It is an arithmetic number, because the mean of its divisors is an integer number (3362613345).

Almost surely, 281062257105 is an apocalyptic number.

81062257105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

81062257105 is a deficient number, since it is larger than the sum of its proper divisors (26541369935).

81062257105 is a wasteful number, since it uses less digits than its factorization.

81062257105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325749.

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 81062257105 in words is "eighty-one billion, sixty-two million, two hundred fifty-seven thousand, one hundred five".

Divisors: 1 5 17 29 85 101 145 493 505 1717 2465 2929 8585 14645 49793 248965 325597 1627985 5535149 9442313 27675745 32885297 47211565 160519321 164426485 559050049 802596605 953673613 2795250245 4768368065 16212451421 81062257105