| Base | Representation |
|---|---|
| bin | 10001000001000100… |
| … | …00010100000000000 |
| 3 | 212120200111002201000 |
| 4 | 20200202002200000 |
| 5 | 122202221304030 |
| 6 | 4110310212000 |
| 7 | 442251261243 |
| oct | 104042024000 |
| 9 | 25520432630 |
| 10 | 9135728640 |
| 11 | 3968976165 |
| 12 | 192b654000 |
| 13 | b279233bc |
| 14 | 62946725a |
| 15 | 38708c860 |
| hex | 220882800 |
9135728640 has 384 divisors, whose sum is σ = 32833382400. Its totient is φ = 2409431040.
The previous prime is 9135728633. The next prime is 9135728671. The reversal of 9135728640 is 468275319.
9135728640 is a `hidden beast` number, since 9 + 13 + 572 + 8 + 64 + 0 = 666.
9135728640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (45).
9135728640 is strictly pandigital in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47830945 + ... + 47831135.
It is an arithmetic number, because the mean of its divisors is an integer number (85503600).
It is a 1-persistent number, because it is pandigital, but 2⋅9135728640 = 18271457280 is not.
Almost surely, 29135728640 is an apocalyptic number.
9135728640 is a gapful number since it is divisible by the number (90) 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 9135728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416691200).
9135728640 is an abundant number, since it is smaller than the sum of its proper divisors (23697653760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9135728640 is a wasteful number, since it uses less digits than its factorization.
9135728640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 400 (or 374 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 9135728640 is about 95581.0056444271. The cubic root of 9135728640 is about 2090.4882477663.
The spelling of 9135728640 in words is "nine billion, one hundred thirty-five million, seven hundred twenty-eight thousand, six hundred forty".
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