| Base | Representation |
|---|---|
| bin | 10000110011111000… |
| … | …01010100000000000 |
| 3 | 212021222101110000000 |
| 4 | 20121330022200000 |
| 5 | 121440413333030 |
| 6 | 4051320000000 |
| 7 | 436436252502 |
| oct | 103174124000 |
| 9 | 25258343000 |
| 10 | 9025136640 |
| 11 | 39114aa813 |
| 12 | 18ba600000 |
| 13 | b0aa41750 |
| 14 | 6188b9d72 |
| 15 | 37c4e4860 |
| hex | 219f0a800 |
9025136640 has 768 divisors, whose sum is σ = 36104140800. Its totient is φ = 2149908480.
The previous prime is 9025136621. The next prime is 9025136707. The reversal of 9025136640 is 466315209.
It is a happy number.
9025136640 is a `hidden beast` number, since 9 + 0 + 2 + 5 + 1 + 3 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 9025136595 and 9025136604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291133425 + ... + 291133455.
It is an arithmetic number, because the mean of its divisors is an integer number (47010600).
Almost surely, 29025136640 is an apocalyptic number.
9025136640 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 9025136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052070400).
9025136640 is an abundant number, since it is smaller than the sum of its proper divisors (27079004160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9025136640 is an equidigital number, since it uses as much as digits as its factorization.
9025136640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 9025136640 is about 95000.7191551727. The cubic root of 9025136640 is about 2082.0185532651.
The spelling of 9025136640 in words is "nine billion, twenty-five million, one hundred thirty-six thousand, six hundred forty".
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