| Base | Representation |
|---|---|
| bin | 1001010001000100101101… |
| … | …1000000000010100100000 |
| 3 | 1100002001101211201202202000 |
| 4 | 2110101023120000110200 |
| 5 | 2313413410303310310 |
| 6 | 33400421202324000 |
| 7 | 2101061052420000 |
| oct | 224211330002440 |
| 9 | 40061354652660 |
| 10 | 10188927010080 |
| 11 | 3279110743a85 |
| 12 | 1186823059600 |
| 13 | 58ba723a5650 |
| 14 | 27320a780000 |
| 15 | 12a08620b4c0 |
| hex | 9444b600520 |
10188927010080 has 3840 divisors, whose sum is σ = 48808818777600. Its totient is φ = 1966449623040.
The previous prime is 10188927010079. The next prime is 10188927010081. The reversal of 10188927010080 is 8001072988101.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10188927010079) and next prime (10188927010081).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (10188927010081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 105040484592 + ... + 105040484688.
It is an arithmetic number, because the mean of its divisors is an integer number (12710629890).
Almost surely, 210188927010080 is an apocalyptic number.
10188927010080 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 10188927010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404409388800).
10188927010080 is an abundant number, since it is smaller than the sum of its proper divisors (38619891767520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10188927010080 is a wasteful number, since it uses less digits than its factorization.
10188927010080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 187 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 45.
Adding to 10188927010080 its reverse (8001072988101), we get a palindrome (18189999998181).
The spelling of 10188927010080 in words is "ten trillion, one hundred eighty-eight billion, nine hundred twenty-seven million, ten thousand, eighty".
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