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89932589973 = 32197233217697
BaseRepresentation
bin101001111000001100…
…1100110101110010101
322121010120000220221200
41103300121212232111
52433140220334343
6105151531303113
76332420254602
oct1236031465625
9277116026850
1089932589973
113515a669a26
121551a2aaa99
138632b7c5a5
1444d1d916a9
1525154b34d3
hex14f0666b95

89932589973 has 24 divisors (see below), whose sum is σ = 131122988568. Its totient is φ = 59394435072.

The previous prime is 89932589969. The next prime is 89932589977. The reversal of 89932589973 is 37998523998.

89932589973 is a `hidden beast` number, since 8 + 9 + 9 + 32 + 589 + 9 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (89932589969) and next prime (89932589977).

It can be written as a sum of positive squares in 4 ways, for example, as 50101211889 + 39831378084 = 223833^2 + 199578^2 .

It is not a de Polignac number, because 89932589973 - 22 = 89932589969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89932589977) 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 23 ways as a sum of consecutive naturals, for example, 304261 + ... + 521957.

It is an arithmetic number, because the mean of its divisors is an integer number (5463457857).

Almost surely, 289932589973 is an apocalyptic number.

It is an amenable number.

89932589973 is a deficient number, since it is larger than the sum of its proper divisors (41190398595).

89932589973 is a wasteful number, since it uses less digits than its factorization.

89932589973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218133 (or 218130 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 89932589973 in words is "eighty-nine billion, nine hundred thirty-two million, five hundred eighty-nine thousand, nine hundred seventy-three".

Divisors: 1 3 9 197 233 591 699 1773 2097 45901 137703 217697 413109 653091 1959273 42886309 50723401 128658927 152170203 385976781 456510609 9992509997 29977529991 89932589973