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45165329105 = 51317181225821
BaseRepresentation
bin101010000100000100…
…000011101011010001
311022120122112102221212
4222010010003223101
51214444311012410
632425413425505
73156144651221
oct520404035321
9138518472855
1045165329105
1118177718276
12890593b295
13434a249410
1422865c8081
1512951e9b05
hexa84103ad1

45165329105 has 32 divisors (see below), whose sum is σ = 62142601248. Its totient is φ = 31217356800.

The previous prime is 45165329087. The next prime is 45165329107. The reversal of 45165329105 is 50192356154.

It can be written as a sum of positive squares in 16 ways, for example, as 9932912896 + 35232416209 = 99664^2 + 187703^2 .

It is a de Polignac number, because none of the positive numbers 2k-45165329105 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45165329107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87095 + ... + 312915.

It is an arithmetic number, because the mean of its divisors is an integer number (1941956289).

Almost surely, 245165329105 is an apocalyptic number.

It is an amenable number.

45165329105 is a deficient number, since it is larger than the sum of its proper divisors (16977272143).

45165329105 is a wasteful number, since it uses less digits than its factorization.

45165329105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226037.

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 45165329105 in words is "forty-five billion, one hundred sixty-five million, three hundred twenty-nine thousand, one hundred five".

Divisors: 1 5 13 17 65 85 181 221 905 1105 2353 3077 11765 15385 40001 200005 225821 1129105 2935673 3838957 14678365 19194785 40873601 49906441 204368005 249532205 531356813 694851217 2656784065 3474256085 9033065821 45165329105