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83104511153 = 372731495581
BaseRepresentation
bin100110101100101101…
…0100011010010110001
321221111200210120200112
41031121122203102301
52330144223324103
6102102214031105
76001256455346
oct1153132432261
9257450716615
1083104511153
113227636a284
1214133648495
137ab537c271
1440451c87cd
152265d08cd8
hex13596a34b1

83104511153 has 24 divisors (see below), whose sum is σ = 87178001400. Its totient is φ = 79201359360.

The previous prime is 83104511137. The next prime is 83104511167. The reversal of 83104511153 is 35111540138.

It can be written as a sum of positive squares in 12 ways, for example, as 3838050304 + 79266460849 = 61952^2 + 281543^2 .

It is not a de Polignac number, because 83104511153 - 24 = 83104511137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83104511353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14887823 + ... + 14893403.

It is an arithmetic number, because the mean of its divisors is an integer number (3632416725).

Almost surely, 283104511153 is an apocalyptic number.

It is an amenable number.

83104511153 is a deficient number, since it is larger than the sum of its proper divisors (4073490247).

83104511153 is a wasteful number, since it uses less digits than its factorization.

83104511153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 83104511153 in words is "eighty-three billion, one hundred four million, five hundred eleven thousand, one hundred fifty-three".

Divisors: 1 37 73 149 1369 2701 5513 5581 10877 99937 203981 206497 402449 407413 831569 7640389 14890613 15074281 30768053 60704537 557748397 1138417961 2246067869 83104511153