Search a number
-
+
2089196928000 = 21033537213273
BaseRepresentation
bin11110011001101101110…
…101110011110000000000
321101201120201121021102000
4132121231311303300000
5233212133403144000
64235432552424000
7303640150611600
oct36315565636000
97351521537360
102089196928000
11736029223006
12298a979a8000
13122019b99400
1473190c62c00
1539528ac7000
hex1e66dd73c00

2089196928000 has 3168 divisors, whose sum is σ = 9859618192320. Its totient is φ = 434759270400.

The previous prime is 2089196927977. The next prime is 2089196928017. The reversal of 2089196928000 is 8296919802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28619135964 + ... + 28619136036.

Almost surely, 22089196928000 is an apocalyptic number.

2089196928000 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 2089196928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929809096160).

2089196928000 is an abundant number, since it is smaller than the sum of its proper divisors (7770421264320).

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

2089196928000 is a wasteful number, since it uses less digits than its factorization.

2089196928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

It can be divided in two parts, 2089196 and 928000, that added together give a triangular number (3017196 = T2456).

The spelling of 2089196928000 in words is "two trillion, eighty-nine billion, one hundred ninety-six million, nine hundred twenty-eight thousand".