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2426298392232 = 23331113317189401
BaseRepresentation
bin100011010011101010101…
…001110101111010101000
322120221200220110222002000
4203103222221311322220
5304223024342022412
65054343123011000
7340202636023401
oct43235251657250
98527626428060
102426298392232
11855a95209540
12332296509a60
13147a50400140
148560d61c9a8
15431a856c4dc
hex234eaa75ea8

2426298392232 has 1024 divisors, whose sum is σ = 8402558976000. Its totient is φ = 638668800000.

The previous prime is 2426298392197. The next prime is 2426298392279. The reversal of 2426298392232 is 2322938926242.

It is a happy number.

2426298392232 is a `hidden beast` number, since 2 + 4 + 2 + 629 + 8 + 3 + 9 + 2 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 6050619232 + ... + 6050619632.

It is an arithmetic number, because the mean of its divisors is an integer number (8205624000).

Almost surely, 22426298392232 is an apocalyptic number.

2426298392232 is a gapful number since it is divisible by the number (22) 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 2426298392232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201279488000).

2426298392232 is an abundant number, since it is smaller than the sum of its proper divisors (5976260583768).

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

2426298392232 is a wasteful number, since it uses less digits than its factorization.

2426298392232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 2426298392232 in words is "two trillion, four hundred twenty-six billion, two hundred ninety-eight million, three hundred ninety-two thousand, two hundred thirty-two".