Search a number
-
+
492902866079232 = 2937479112385223
BaseRepresentation
bin111000000010010101110010…
…0001111011100111000000000
32101122020001110020000020101020
41300010223210033130320000
51004101210032204013412
64504152241203105440
7205552025342121120
oct16004534417347000
92348201406006336
10492902866079232
11133065a27a50154
1247347a64672280
1318205705280bcb
1489a08a9aa8c80
153beb80490318c
hex1c04ae43dce00

492902866079232 has 320 divisors, whose sum is σ = 1505202997985280. Its totient is φ = 140408592850944.

The previous prime is 492902866079231. The next prime is 492902866079249. The reversal of 492902866079232 is 232970668209294.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492902866079231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5783640973 + ... + 5783726195.

It is an arithmetic number, because the mean of its divisors is an integer number (4703759368704).

Almost surely, 2492902866079232 is an apocalyptic number.

492902866079232 is a gapful number since it is divisible by the number (42) 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 492902866079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752601498992640).

492902866079232 is an abundant number, since it is smaller than the sum of its proper divisors (1012300131906048).

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

492902866079232 is a wasteful number, since it uses less digits than its factorization.

492902866079232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86853 (or 86837 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 492902866079232 in words is "four hundred ninety-two trillion, nine hundred two billion, eight hundred sixty-six million, seventy-nine thousand, two hundred thirty-two".