| Base | Representation |
|---|---|
| bin | 10010100101010111… |
| … | …01110011001110000 |
| 3 | 221202022201122102000 |
| 4 | 21102223232121300 |
| 5 | 130413121103220 |
| 6 | 4330004254000 |
| 7 | 502146123240 |
| oct | 112253563160 |
| 9 | 27668648360 |
| 10 | 9977128560 |
| 11 | 425a9133a3 |
| 12 | 1b253a1300 |
| 13 | c30040089 |
| 14 | 6a90cbb20 |
| 15 | 3d5d91390 |
| hex | 252aee670 |
9977128560 has 160 divisors (see below), whose sum is σ = 39275105280. Its totient is φ = 2280483072.
The previous prime is 9977128547. The next prime is 9977128561. The reversal of 9977128560 is 658217799.
9977128560 is a `hidden beast` number, since 9 + 9 + 7 + 71 + 2 + 8 + 560 = 666.
9977128560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 9977128497 and 9977128506.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9977128561) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 314812 + ... + 345051.
It is an arithmetic number, because the mean of its divisors is an integer number (245469408).
Almost surely, 29977128560 is an apocalyptic number.
9977128560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is an amenable number.
9977128560 is an abundant number, since it is smaller than the sum of its proper divisors (29297976720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9977128560 is a wasteful number, since it uses less digits than its factorization.
9977128560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 659892 (or 659880 counting only the distinct ones).
The product of its (nonzero) digits is 1905120, while the sum is 54.
The square root of 9977128560 is about 99885.5773372713. The cubic root of 9977128560 is about 2152.7909354348.
The spelling of 9977128560 in words is "nine billion, nine hundred seventy-seven million, one hundred twenty-eight thousand, five hundred sixty".
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