Search a number
-
+
2061069192000 = 263353713234797
BaseRepresentation
bin11101111111100001010…
…011000000101101000000
321022000222110022020102000
4131333201103000231000
5232232032203121000
64214501521424000
7301623134033430
oct35774123005500
97260873266360
102061069192000
117251049106a5
12293547a9b000
1311c486676540
1471a833422c0
153892e52d000
hex1dfe14c0b40

2061069192000 has 3584 divisors, whose sum is σ = 10020396072960. Its totient is φ = 402908774400.

The previous prime is 2061069191989. The next prime is 2061069192011. The reversal of 2061069192000 is 2919601602.

2061069192000 is a `hidden beast` number, since 2 + 0 + 610 + 6 + 9 + 19 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2061069191989) and next prime (2061069192011).

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 (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21248135952 + ... + 21248136048.

It is an arithmetic number, because the mean of its divisors is an integer number (2795869440).

Almost surely, 22061069192000 is an apocalyptic number.

2061069192000 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 2061069192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010198036480).

2061069192000 is an abundant number, since it is smaller than the sum of its proper divisors (7959326880960).

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

2061069192000 is a wasteful number, since it uses less digits than its factorization.

2061069192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 2061069192000 in words is "two trillion, sixty-one billion, sixty-nine million, one hundred ninety-two thousand".