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54243829520 = 2452993724953
BaseRepresentation
bin110010100001001011…
…110010011100010000
312012000100100001021222
4302201023302130100
51342042410021040
640530321304212
73630132641366
oct624113623420
9165010301258
1054243829520
1121006255a81
12a61a195068
13516605335a
1428a81d5636
151627230bb5
hexca12f2710

54243829520 has 80 divisors (see below), whose sum is σ = 130610234160. Its totient is φ = 20926144512.

The previous prime is 54243829499. The next prime is 54243829547. The reversal of 54243829520 is 2592834245.

It can be written as a sum of positive squares in 8 ways, for example, as 2553078784 + 51690750736 = 50528^2 + 227356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161364 + ... + 2186316.

It is an arithmetic number, because the mean of its divisors is an integer number (1632627927).

Almost surely, 254243829520 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 54243829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65305117080).

54243829520 is an abundant number, since it is smaller than the sum of its proper divisors (76366404640).

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

54243829520 is a wasteful number, since it uses less digits than its factorization.

54243829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25932 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 54243829520 in words is "fifty-four billion, two hundred forty-three million, eight hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 937 1160 1874 2320 3748 4685 7496 9370 14992 18740 24953 27173 37480 49906 54346 74960 99812 108692 124765 135865 199624 217384 249530 271730 399248 434768 499060 543460 723637 998120 1086920 1447274 1996240 2173840 2894548 3618185 5789096 7236370 11578192 14472740 23380961 28945480 46761922 57890960 93523844 116904805 187047688 233809610 374095376 467619220 678047869 935238440 1356095738 1870476880 2712191476 3390239345 5424382952 6780478690 10848765904 13560957380 27121914760 54243829520