Search a number
-
+
495055820445696 = 2113471193121767
BaseRepresentation
bin111000010010000000010101…
…0010100100101100000000000
32101220211212121022110222010000
41300210000222110211200000
51004341443310013230241
64512521300531040000
7206163413506232556
oct16044005224454000
92356755538428100
10495055820445696
11133815aa3621364
1247635174740000
131833074318c163
148a36b88433bd6
153c37810a3ceb6
hex1c2402a525800

495055820445696 has 480 divisors, whose sum is σ = 1500366724496640. Its totient is φ = 162602676633600.

The previous prime is 495055820445673. The next prime is 495055820445709. The reversal of 495055820445696 is 696544028550594.

495055820445696 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 5 + 5 + 82 + 0 + 4 + 456 + 96 = 666.

It is a super-2 number, since 2×4950558204456962 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22743399805 + ... + 22743421571.

It is an arithmetic number, because the mean of its divisors is an integer number (3125764009368).

Almost surely, 2495055820445696 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 495055820445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750183362248320).

495055820445696 is an abundant number, since it is smaller than the sum of its proper divisors (1005310904050944).

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

495055820445696 is a wasteful number, since it uses less digits than its factorization.

495055820445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23803 (or 23774 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 495055820445696 in words is "four hundred ninety-five trillion, fifty-five billion, eight hundred twenty million, four hundred forty-five thousand, six hundred ninety-six".