| Base | Representation |
|---|---|
| bin | 111101001010001… |
| … | …0010011101000000 |
| 3 | 12022000110110020100 |
| 4 | 1322110102131000 |
| 5 | 13200321420231 |
| 6 | 535344242400 |
| 7 | 101565615000 |
| oct | 17224223500 |
| 9 | 5260413210 |
| 10 | 2052138816 |
| 11 | 9634192a2 |
| 12 | 493310400 |
| 13 | 269201130 |
| 14 | 15678c000 |
| 15 | c02611e6 |
| hex | 7a512740 |
2052138816 has 672 divisors, whose sum is σ = 7988198400. Its totient is φ = 498548736.
The previous prime is 2052138797. The next prime is 2052138827. The reversal of 2052138816 is 6188312502.
It is a happy number.
2052138816 is a `hidden beast` number, since 20 + 521 + 38 + 81 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×20521388162 = 8422547440267763712, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 43662505 + ... + 43662551.
It is an arithmetic number, because the mean of its divisors is an integer number (11887200).
Almost surely, 22052138816 is an apocalyptic number.
2052138816 is a gapful number since it is divisible by the number (26) 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 2052138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).
2052138816 is an abundant number, since it is smaller than the sum of its proper divisors (5936059584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2052138816 is a wasteful number, since it uses less digits than its factorization.
2052138816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 2052138816 is about 45300.5388047427. The cubic root of 2052138816 is about 1270.7757296053.
The spelling of 2052138816 in words is "two billion, fifty-two million, one hundred thirty-eight thousand, eight hundred sixteen".
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