Search a number
-
+
165795423744720 = 2435711831973131753
BaseRepresentation
bin100101101100101001000001…
…010101100111001011010000
3210202000212222010221001120110
4211230221001111213023100
5133212343011434312340
61344341211033041320
746631216105256060
oct4554510125471320
9722025863831513
10165795423744720
1148911498476180
121671831bb56240
13716859790c7a3
142cd278157b3a0
151427abd233680
hex96ca415672d0

165795423744720 has 1280 divisors, whose sum is σ = 654256252919808. Its totient is φ = 33735709163520.

The previous prime is 165795423744679. The next prime is 165795423744739. The reversal of 165795423744720 is 27447324597561.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94578107364 + ... + 94578109116.

Almost surely, 2165795423744720 is an apocalyptic number.

165795423744720 is a gapful number since it is divisible by the number (10) 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 165795423744720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327128126459904).

165795423744720 is an abundant number, since it is smaller than the sum of its proper divisors (488460829175088).

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

165795423744720 is a wasteful number, since it uses less digits than its factorization.

165795423744720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 66.

The spelling of 165795423744720 in words is "one hundred sixty-five trillion, seven hundred ninety-five billion, four hundred twenty-three million, seven hundred forty-four thousand, seven hundred twenty".