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108614407489 = 72234892
BaseRepresentation
bin110010100100111101…
…1000101010101000001
3101101100112011120202221
41211021323011111001
53234420242014424
6121521411411041
710563365142100
oct1451173052501
9341315146687
10108614407489
1142077001a35
12190728b3a81
13a31c424193
145385182037
152c5a64b9e4
hex1949ec5541

108614407489 has 45 divisors (see below), whose sum is σ = 133591251747. Its totient is φ = 88049756256.

The previous prime is 108614407487. The next prime is 108614407507. The reversal of 108614407489 is 984704416801.

The square root of 108614407489 is 329567.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20856269889 + 87758137600 = 144417^2 + 296240^2 .

It is not a de Polignac number, because 108614407489 - 21 = 108614407487 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108614407487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1220386557 + ... + 1220386645.

Almost surely, 2108614407489 is an apocalyptic number.

108614407489 is the 329567-th square number.

108614407489 is the 164784-th centered octagonal number.

It is an amenable number.

108614407489 is a deficient number, since it is larger than the sum of its proper divisors (24976844258).

108614407489 is an frugal number, since it uses more digits than its factorization.

108614407489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 108614407489 in words is "one hundred eight billion, six hundred fourteen million, four hundred seven thousand, four hundred eighty-nine".

Divisors: 1 7 23 49 89 161 529 623 1127 2047 3703 4361 7921 12167 14329 25921 47081 55447 85169 100303 182183 279841 329567 388129 596183 1082863 1275281 1958887 2306969 4190209 7580041 8926967 13712209 24905849 29331463 53060287 96374807 174340943 205320241 674623649 1220386601 2216620561 4722365543 15516343927 108614407489