Search a number
-
+
165190644421712 = 247132197121130661
BaseRepresentation
bin100101100011110101110001…
…101011100101010001010000
3210122220001221000221020102222
4211203311301223211101100
5133122440414432443322
61343155311233200212
746536426106656530
oct4543656153452120
9718801830836388
10165190644421712
11486a8a602a0558
121663b078700068
137123545a6a300
142cb13ac67b4c0
151416ec39eee42
hex963d71ae5450

165190644421712 has 480 divisors, whose sum is σ = 424816721418240. Its totient is φ = 60747418368000.

The previous prime is 165190644421709. The next prime is 165190644421729. The reversal of 165190644421712 is 217124446091561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5387631662 + ... + 5387662322.

It is an arithmetic number, because the mean of its divisors is an integer number (885034836288).

Almost surely, 2165190644421712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165190644421712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212408360709120).

165190644421712 is an abundant number, since it is smaller than the sum of its proper divisors (259626076996528).

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

165190644421712 is a wasteful number, since it uses less digits than its factorization.

165190644421712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31003 (or 30984 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 165190644421712 in words is "one hundred sixty-five trillion, one hundred ninety billion, six hundred forty-four million, four hundred twenty-one thousand, seven hundred twelve".