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89899692480 = 26335133125819
BaseRepresentation
bin101001110111001110…
…0000111000111000000
322121001021010120002000
41103232130013013000
52433103310124410
6105144354224000
76331540530543
oct1235634070700
9277037116060
1089899692480
113514303a614
121550b285000
138629101810
1444cb86a85a
152512665dc0
hex14ee7071c0

89899692480 has 448 divisors, whose sum is σ = 352573132800. Its totient is φ = 21414481920.

The previous prime is 89899692479. The next prime is 89899692523. The reversal of 89899692480 is 8429699898.

89899692480 is a `hidden beast` number, since 8 + 9 + 89 + 9 + 69 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89899692399 and 89899692408.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3469011 + ... + 3494829.

It is an arithmetic number, because the mean of its divisors is an integer number (786993600).

Almost surely, 289899692480 is an apocalyptic number.

89899692480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89899692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176286566400).

89899692480 is an abundant number, since it is smaller than the sum of its proper divisors (262673440320).

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

89899692480 is a wasteful number, since it uses less digits than its factorization.

89899692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25889 (or 25873 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 89899692480 in words is "eighty-nine billion, eight hundred ninety-nine million, six hundred ninety-two thousand, four hundred eighty".