| Base | Representation |
|---|---|
| bin | 101001101111001000… |
| … | …0001110101110000000 |
| 3 | 22120100100011101111000 |
| 4 | 1103132100032232000 |
| 5 | 2432024301024324 |
| 6 | 105101414052000 |
| 7 | 6322032432540 |
| oct | 1233620165600 |
| 9 | 276310141430 |
| 10 | 89628142464 |
| 11 | 35013828013 |
| 12 | 1545434a000 |
| 13 | 85b4a85333 |
| 14 | 44a3781320 |
| 15 | 24e88c69c9 |
| hex | 14de40eb80 |
89628142464 has 512 divisors, whose sum is σ = 320002560000. Its totient is φ = 24125257728.
The previous prime is 89628142459. The next prime is 89628142469. The reversal of 89628142464 is 46424182698.
It is a happy number.
89628142464 is a `hidden beast` number, since 8 + 9 + 62 + 81 + 42 + 464 = 666.
It is an interprime number because it is at equal distance from previous prime (89628142459) and next prime (89628142469).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 89628142464.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (89628142469) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104339667 + ... + 104340525.
It is an arithmetic number, because the mean of its divisors is an integer number (625005000).
Almost surely, 289628142464 is an apocalyptic number.
89628142464 is a gapful number since it is divisible by the number (84) 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 89628142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160001280000).
89628142464 is an abundant number, since it is smaller than the sum of its proper divisors (230374417536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89628142464 is a wasteful number, since it uses less digits than its factorization.
89628142464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1135 (or 1117 counting only the distinct ones).
The product of its digits is 5308416, while the sum is 54.
The spelling of 89628142464 in words is "eighty-nine billion, six hundred twenty-eight million, one hundred forty-two thousand, four hundred sixty-four".
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