| Base | Representation |
|---|---|
| bin | 1001100101100000110100… |
| … | …0001110011001010000000 |
| 3 | 1101022121202111001111211000 |
| 4 | 2121120031001303022000 |
| 5 | 2340142024442213442 |
| 6 | 34230012431252000 |
| 7 | 2135331501333030 |
| oct | 231301501631200 |
| 9 | 41277674044730 |
| 10 | 10540068319872 |
| 11 | 33a4021873263 |
| 12 | 122289b67a000 |
| 13 | 5b5c025596c0 |
| 14 | 2861dba258c0 |
| 15 | 134288555d4c |
| hex | 9960d073280 |
10540068319872 has 3072 divisors, whose sum is σ = 44124350054400. Its totient is φ = 2401877753856.
The previous prime is 10540068319849. The next prime is 10540068319873. The reversal of 10540068319872 is 27891386004501.
10540068319872 is a `hidden beast` number, since 1 + 0 + 5 + 400 + 6 + 83 + 1 + 98 + 72 = 666.
It is a super-2 number, since 2×105400683198722 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (10540068319873) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82992663873 + ... + 82992663999.
It is an arithmetic number, because the mean of its divisors is an integer number (14363395200).
It is a 1-persistent number, because it is pandigital, but 2⋅10540068319872 = 21080136639744 is not.
Almost surely, 210540068319872 is an apocalyptic number.
10540068319872 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 10540068319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22062175027200).
10540068319872 is an abundant number, since it is smaller than the sum of its proper divisors (33584281734528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10540068319872 is a wasteful number, since it uses less digits than its factorization.
10540068319872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 268 (or 231 counting only the distinct ones).
The product of its (nonzero) digits is 2903040, while the sum is 54.
The spelling of 10540068319872 in words is "ten trillion, five hundred forty billion, sixty-eight million, three hundred nineteen thousand, eight hundred seventy-two".
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