Search a number
-
+
2054362334112 = 2537114756779
BaseRepresentation
bin11101111001010001100…
…010011000001110100000
321021101200001011120000000
4131321101202120032200
5232124313224142422
64211432214300000
7301265004502044
oct35712142301640
97241601146000
102054362334112
11722282a87040
12292195957600
1311b958009a8a
14716086d2024
153868a81acac
hex1de518983a0

2054362334112 has 384 divisors, whose sum is σ = 6758219059200. Its totient is φ = 609277904640.

The previous prime is 2054362334107. The next prime is 2054362334177. The reversal of 2054362334112 is 2114332634502.

2054362334112 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 3 + 6 + 233 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36153339 + ... + 36210117.

It is an arithmetic number, because the mean of its divisors is an integer number (17599528800).

Almost surely, 22054362334112 is an apocalyptic number.

2054362334112 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 2054362334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379109529600).

2054362334112 is an abundant number, since it is smaller than the sum of its proper divisors (4703856725088).

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

2054362334112 is an equidigital number, since it uses as much as digits as its factorization.

2054362334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56868 (or 56842 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2054362334112 its reverse (2114332634502), we get a palindrome (4168694968614).

The spelling of 2054362334112 in words is "two trillion, fifty-four billion, three hundred sixty-two million, three hundred thirty-four thousand, one hundred twelve".