| Base | Representation |
|---|---|
| bin | 10011010010100010… |
| … | …11111101110000000 |
| 3 | 222201201212211210000 |
| 4 | 21221101133232000 |
| 5 | 132202132104030 |
| 6 | 4431343440000 |
| 7 | 514430432604 |
| oct | 115121375600 |
| 9 | 28651784700 |
| 10 | 10356128640 |
| 11 | 4434845800 |
| 12 | 20102b6000 |
| 13 | c9070b090 |
| 14 | 703587504 |
| 15 | 4092a7860 |
| hex | 26945fb80 |
10356128640 has 960 divisors, whose sum is σ = 44123143680. Its totient is φ = 2299207680.
The previous prime is 10356128621. The next prime is 10356128647. The reversal of 10356128640 is 4682165301.
It is a happy number.
10356128640 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 1 + 2 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×103561286403 (a number of 31 digits) contains 333 as substring.
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 = 10356128595 and 10356128604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10356128647) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81544257 + ... + 81544383.
It is an arithmetic number, because the mean of its divisors is an integer number (45961608).
Almost surely, 210356128640 is an apocalyptic number.
10356128640 is a gapful number since it is divisible by the number (10) 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 10356128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061571840).
10356128640 is an abundant number, since it is smaller than the sum of its proper divisors (33767015040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10356128640 is a wasteful number, since it uses less digits than its factorization.
10356128640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193 (or 161 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The spelling of 10356128640 in words is "ten billion, three hundred fifty-six million, one hundred twenty-eight thousand, six hundred forty".
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