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89408125908 = 223217146091709
BaseRepresentation
bin101001101000100100…
…0111011101111010100
322112210000011101111200
41103101020323233110
52431101440012113
6105023514232500
76313421350053
oct1232110735724
9275700141450
1089408125908
1134a10613352
12153b2725730
13857b31021a
14448246c39a
1524d4416873
hex14d123bbd4

89408125908 has 36 divisors (see below), whose sum is σ = 239298220980. Its totient is φ = 28049607936.

The previous prime is 89408125907. The next prime is 89408125921. The reversal of 89408125908 is 80952180498.

89408125908 is a `hidden beast` number, since 8 + 9 + 40 + 8 + 1 + 2 + 590 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24190203024 + 65217922884 = 155532^2 + 255378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89408125907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73045243 + ... + 73046466.

It is an arithmetic number, because the mean of its divisors is an integer number (6647172805).

Almost surely, 289408125908 is an apocalyptic number.

It is an amenable number.

89408125908 is an abundant number, since it is smaller than the sum of its proper divisors (149890095072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89408125908 is a wasteful number, since it uses less digits than its factorization.

89408125908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146091736 (or 146091731 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 89408125908 in words is "eighty-nine billion, four hundred eight million, one hundred twenty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 146091709 292183418 438275127 584366836 876550254 1314825381 1753100508 2483559053 2629650762 4967118106 5259301524 7450677159 9934236212 14901354318 22352031477 29802708636 44704062954 89408125908