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54022412000 = 255379170957
BaseRepresentation
bin110010010011111111…
…001001011011100000
312011102220200212120002
4302103333021123200
51341114214141000
640452331435132
73621503632304
oct622377113340
9164386625502
1054022412000
1120a02274797
12a577bb5aa8
13512c20a67b
142886a39d04
151612a958d5
hexc93fc96e0

54022412000 has 96 divisors (see below), whose sum is σ = 134414017920. Its totient is φ = 21335308800.

The previous prime is 54022411973. The next prime is 54022412039. The reversal of 54022412000 is 21422045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230522 + ... + 401478.

It is an arithmetic number, because the mean of its divisors is an integer number (1400146020).

Almost surely, 254022412000 is an apocalyptic number.

54022412000 is a gapful number since it is divisible by the number (50) 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 54022412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67207008960).

54022412000 is an abundant number, since it is smaller than the sum of its proper divisors (80391605920).

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

54022412000 is a wasteful number, since it uses less digits than its factorization.

54022412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171061 (or 171043 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 54022412000 its reverse (21422045), we get a palindrome (54043834045).

The spelling of 54022412000 in words is "fifty-four billion, twenty-two million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 632 790 800 1000 1264 1580 1975 2000 2528 3160 3950 4000 6320 7900 9875 12640 15800 19750 31600 39500 63200 79000 158000 170957 316000 341914 683828 854785 1367656 1709570 2735312 3419140 4273925 5470624 6838280 8547850 13505603 13676560 17095700 21369625 27011206 27353120 34191400 42739250 54022412 67528015 68382800 85478500 108044824 135056030 136765600 170957000 216089648 270112060 337640075 341914000 432179296 540224120 675280150 683828000 1080448240 1350560300 1688200375 2160896480 2701120600 3376400750 5402241200 6752801500 10804482400 13505603000 27011206000 54022412000