Search a number
-
+
495853118297856 = 283411313431697
BaseRepresentation
bin111000010111110011100110…
…0111110100001011100000000
32102000200002120101001101010000
41300233213030332201130000
51004443024141241012411
64514331440003040000
7206305130342164554
oct16057471476413400
92360602511041100
10495853118297856
11133aa3143462420
12477437a6070000
131838a99637c587
148a635c1967864
153c4d4269c3956
hex1c2f9ccfa1700

495853118297856 has 1440 divisors, whose sum is σ = 1706486784178176. Its totient is φ = 141946114867200.

The previous prime is 495853118297833. The next prime is 495853118297947. The reversal of 495853118297856 is 658792811358594.

495853118297856 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 5 + 311 + 8 + 297 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 292193940400 + ... + 292193942096.

Almost surely, 2495853118297856 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 495853118297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853243392089088).

495853118297856 is an abundant number, since it is smaller than the sum of its proper divisors (1210633665880320).

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

495853118297856 is an equidigital number, since it uses as much as digits as its factorization.

495853118297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1787 counting only the distinct ones).

The product of its digits is 5225472000, while the sum is 81.

The spelling of 495853118297856 in words is "four hundred ninety-five trillion, eight hundred fifty-three billion, one hundred eighteen million, two hundred ninety-seven thousand, eight hundred fifty-six".