| Base | Representation |
|---|---|
| bin | 110001100000110… |
| … | …1011101110000000 |
| 3 | 11021210012010121000 |
| 4 | 1203001223232000 |
| 5 | 11400303314400 |
| 6 | 432505132000 |
| 7 | 56112354540 |
| oct | 14301535600 |
| 9 | 4253163530 |
| 10 | 1661385600 |
| 11 | 782899656 |
| 12 | 3a448a000 |
| 13 | 206279604 |
| 14 | 11a913320 |
| 15 | 9acc7600 |
| hex | 6306bb80 |
1661385600 has 768 divisors, whose sum is σ = 7224537600. Its totient is φ = 364953600.
The previous prime is 1661385577. The next prime is 1661385601. The reversal of 1661385600 is 65831661.
It is a happy number.
1661385600 is a `hidden beast` number, since 1 + 6 + 61 + 38 + 560 + 0 = 666.
It is a super-2 number, since 2×16613856002 = 5520404223774720000, 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 not an unprimeable number, because it can be changed into a prime (1661385601) 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 95 ways as a sum of consecutive naturals, for example, 24796767 + ... + 24796833.
It is an arithmetic number, because the mean of its divisors is an integer number (9406950).
Almost surely, 21661385600 is an apocalyptic number.
1661385600 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 1661385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612268800).
1661385600 is an abundant number, since it is smaller than the sum of its proper divisors (5563152000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1661385600 is a wasteful number, since it uses less digits than its factorization.
1661385600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 148 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 1661385600 is about 40760.0981353088. The cubic root of 1661385600 is about 1184.3774971114.
The spelling of 1661385600 in words is "one billion, six hundred sixty-one million, three hundred eighty-five thousand, six hundred".
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