| Base | Representation |
|---|---|
| bin | 11110111001100010100… |
| … | …000000000000000000000 |
| 3 | 21111222210001111022010000 |
| 4 | 132321202200000000000 |
| 5 | 234242123244300000 |
| 6 | 4303243331040000 |
| 7 | 306256666413516 |
| oct | 36714240000000 |
| 9 | 7458701438100 |
| 10 | 2123366400000 |
| 11 | 749572a8206a |
| 12 | 2a3633140000 |
| 13 | 12530400bab1 |
| 14 | 74ab2d384b6 |
| 15 | 3a3787a0000 |
| hex | 1ee62800000 |
2123366400000 has 720 divisors, whose sum is σ = 7929348016590. Its totient is φ = 566231040000.
The previous prime is 2123366399983. The next prime is 2123366400041. The reversal of 2123366400000 is 46633212.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
2123366400000 is a `hidden beast` number, since 2 + 12 + 3 + 3 + 6 + 640 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 3057647616 + 2120308752384 = 55296^2 + 1456128^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 424673279998 + ... + 424673280002.
Almost surely, 22123366400000 is an apocalyptic number.
2123366400000 is a gapful number since it is divisible by the number (20) 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 2123366400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964674008295).
2123366400000 is an abundant number, since it is smaller than the sum of its proper divisors (5805981616590).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123366400000 is an frugal number, since it uses more digits than its factorization.
2123366400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The spelling of 2123366400000 in words is "two trillion, one hundred twenty-three billion, three hundred sixty-six million, four hundred thousand".
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