Base | Representation |
---|---|
bin | 10100011100101110111111… |
… | …100111111110010001101000 |
3 | 102210102202100002001222100000 |
4 | 110130232333213332101220 |
5 | 43242000433443403041 |
6 | 515135451531543000 |
7 | 24641425254264360 |
oct | 2434567747762150 |
9 | 383382302058300 |
10 | 89935535137896 |
11 | 2672449aa75118 |
12 | a1061388baa60 |
13 | 3b24b6653a506 |
14 | 182cc9026d9a0 |
15 | a5e66a17bbb6 |
hex | 51cbbf9fe468 |
89935535137896 has 768 divisors, whose sum is σ = 307910495692800. Its totient is φ = 24020954320896.
The previous prime is 89935535137891. The next prime is 89935535137927. The reversal of 89935535137896 is 69873153553998.
89935535137896 is a `hidden beast` number, since 8 + 9 + 9 + 3 + 5 + 5 + 3 + 513 + 7 + 8 + 96 = 666.
It is a Harshad number since it is a multiple of its sum of digits (81).
It is not an unprimeable number, because it can be changed into a prime (89935535137891) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22167987900 + ... + 22167991956.
It is an arithmetic number, because the mean of its divisors is an integer number (400925124600).
Almost surely, 289935535137896 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 89935535137896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153955247846400).
89935535137896 is an abundant number, since it is smaller than the sum of its proper divisors (217974960554904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89935535137896 is a wasteful number, since it uses less digits than its factorization.
89935535137896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5220 (or 5204 counting only the distinct ones).
The product of its digits is 6613488000, while the sum is 81.
The spelling of 89935535137896 in words is "eighty-nine trillion, nine hundred thirty-five billion, five hundred thirty-five million, one hundred thirty-seven thousand, eight hundred ninety-six".
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