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54422105040 = 2435523592063
BaseRepresentation
bin110010101011110011…
…110110101111010000
312012110202210101100000
4302223303312233100
51342424024330130
641000130330000
73634426155162
oct625363665720
9165422711300
1054422105040
1121097950016
12a669a29900
135193c72324
1428c3b60932
151637be8260
hexcabcf6bd0

54422105040 has 480 divisors, whose sum is σ = 201227120640. Its totient is φ = 13639684608.

The previous prime is 54422105039. The next prime is 54422105041. The reversal of 54422105040 is 4050122445.

54422105040 is a `hidden beast` number, since 5 + 442 + 210 + 5 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54422105039) and next prime (54422105041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54422104995 and 54422105013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54422105041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26379049 + ... + 26381111.

It is an arithmetic number, because the mean of its divisors is an integer number (419223168).

Almost surely, 254422105040 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 54422105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100613560320).

54422105040 is an abundant number, since it is smaller than the sum of its proper divisors (146805015600).

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

54422105040 is a wasteful number, since it uses less digits than its factorization.

54422105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 54422105040 its reverse (4050122445), we get a palindrome (58472227485).

The spelling of 54422105040 in words is "fifty-four billion, four hundred twenty-two million, one hundred five thousand, forty".