| Base | Representation |
|---|---|
| bin | 1010000001001111010100… |
| … | …0010101000100000000000 |
| 3 | 1110000011021100210121000000 |
| 4 | 2200103311002220200000 |
| 5 | 2420443100224130130 |
| 6 | 35232511224000000 |
| 7 | 2214623561433165 |
| oct | 240236502504000 |
| 9 | 43004240717000 |
| 10 | 11016407255040 |
| 11 | 3568039775520 |
| 12 | 129b078600000 |
| 13 | 61bac568bba5 |
| 14 | 2a12a863a06c |
| 15 | 141866ce8260 |
| hex | a04f50a8800 |
11016407255040 has 2688 divisors, whose sum is σ = 47642936140800. Its totient is φ = 2412197314560.
The previous prime is 11016407254997. The next prime is 11016407255071. The reversal of 11016407255040 is 4055270461011.
11016407255040 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 64 + 0 + 7 + 2 + 550 + 40 = 666.
It is a super-2 number, since 2×110164072550402 (a number of 27 digits) contains 22 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 = 11016407254986 and 11016407255004.
It is an unprimeable number.
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 223 ways as a sum of consecutive naturals, for example, 35884062567 + ... + 35884062873.
It is an arithmetic number, because the mean of its divisors is an integer number (17724306600).
Almost surely, 211016407255040 is an apocalyptic number.
11016407255040 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 11016407255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821468070400).
11016407255040 is an abundant number, since it is smaller than the sum of its proper divisors (36626528885760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11016407255040 is a wasteful number, since it uses less digits than its factorization.
11016407255040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 405 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The spelling of 11016407255040 in words is "eleven trillion, sixteen billion, four hundred seven million, two hundred fifty-five thousand, forty".
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