| Base | Representation |
|---|---|
| bin | 10011100100011101… |
| … | …00110000000000000 |
| 3 | 1000010012120112102010 |
| 4 | 21302032212000000 |
| 5 | 133004112103010 |
| 6 | 4454311452520 |
| 7 | 521233416366 |
| oct | 116216460000 |
| 9 | 30105515363 |
| 10 | 10506362880 |
| 11 | 4501627a32 |
| 12 | 2052687140 |
| 13 | cb588c790 |
| 14 | 7194d3636 |
| 15 | 417581620 |
| hex | 2723a6000 |
10506362880 has 224 divisors, whose sum is σ = 36209837664. Its totient is φ = 2585788416.
The previous prime is 10506362863. The next prime is 10506362897. The reversal of 10506362880 is 8826360501.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10506362863) and next prime (10506362897).
It is a super-2 number, since 2×105063628802 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (39) 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 (39).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 1594152 + ... + 1600728.
It is an arithmetic number, because the mean of its divisors is an integer number (161651061).
Almost surely, 210506362880 is an apocalyptic number.
10506362880 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 10506362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18104918832).
10506362880 is an abundant number, since it is smaller than the sum of its proper divisors (25703474784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10506362880 is an equidigital number, since it uses as much as digits as its factorization.
10506362880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6624 (or 6600 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 39.
The spelling of 10506362880 in words is "ten billion, five hundred six million, three hundred sixty-two thousand, eight hundred eighty".
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