Search a number
-
+
2068422663600 = 243352593322969
BaseRepresentation
bin11110000110010111100…
…110010001110110110000
321022201221221011022002000
4132012113212101312300
5232342112200213400
64222115324054000
7302303304356226
oct36062746216660
97281857138060
102068422663600
11728238740757
12294a5a694300
13120088c7c877
147217dbd0b16
1538c0edb9600
hex1e197991db0

2068422663600 has 240 divisors, whose sum is σ = 7374490279200. Its totient is φ = 550647521280.

The previous prime is 2068422663581. The next prime is 2068422663653. The reversal of 2068422663600 is 63662248602.

2068422663600 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 4 + 2 + 2 + 6 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6242916 + ... + 6565884.

It is an arithmetic number, because the mean of its divisors is an integer number (30727042830).

Almost surely, 22068422663600 is an apocalyptic number.

2068422663600 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 2068422663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687245139600).

2068422663600 is an abundant number, since it is smaller than the sum of its proper divisors (5306067615600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2068422663600 is a wasteful number, since it uses less digits than its factorization.

2068422663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323589 (or 323572 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2068422663600 in words is "two trillion, sixty-eight billion, four hundred twenty-two million, six hundred sixty-three thousand, six hundred".