| Base | Representation |
|---|---|
| bin | 11110111111100111110… |
| … | …01011000101010100000 |
| 3 | 10202210211010002210011000 |
| 4 | 33133303321120222200 |
| 5 | 114422003400010312 |
| 6 | 2133121501152000 |
| 7 | 136640265455100 |
| oct | 17376371305240 |
| 9 | 3683733083130 |
| 10 | 1064948828832 |
| 11 | 38070793a339 |
| 12 | 15248925b600 |
| 13 | 795690a90c5 |
| 14 | 3978827b200 |
| 15 | 1ca7d6b3adc |
| hex | f7f3e58aa0 |
1064948828832 has 576 divisors, whose sum is σ = 3746590848000. Its totient is φ = 293089757184.
The previous prime is 1064948828771. The next prime is 1064948828849. The reversal of 1064948828832 is 2388288494601.
1064948828832 is a `hidden beast` number, since 1 + 0 + 6 + 49 + 488 + 2 + 88 + 32 = 666.
It is a super-2 number, since 2×10649488288322 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 1064948828832.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745239894 + ... + 745241322.
It is an arithmetic number, because the mean of its divisors is an integer number (6504498000).
Almost surely, 21064948828832 is an apocalyptic number.
1064948828832 is a gapful number since it is divisible by the number (12) 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 1064948828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873295424000).
1064948828832 is an abundant number, since it is smaller than the sum of its proper divisors (2681642019168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1064948828832 is a wasteful number, since it uses less digits than its factorization.
1064948828832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2098 (or 2077 counting only the distinct ones).
The product of its (nonzero) digits is 42467328, while the sum is 63.
The spelling of 1064948828832 in words is "one trillion, sixty-four billion, nine hundred forty-eight million, eight hundred twenty-eight thousand, eight hundred thirty-two".
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