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54051285920 = 255477879133
BaseRepresentation
bin110010010101101101…
…010010101110100000
312011111221000211010112
4302111231102232200
51341144112122140
640455242350452
73622304230652
oct622555225640
9164457024115
1054051285920
1120a175a6135
12a5857bb428
1351351a9c28
14288a7d46d2
15161539ac65
hexc95b52ba0

54051285920 has 96 divisors (see below), whose sum is σ = 130593109248. Its totient is φ = 21131301888.

The previous prime is 54051285901. The next prime is 54051285929. The reversal of 54051285920 is 2958215045.

It is not an unprimeable number, because it can be changed into a prime (54051285929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5913674 + ... + 5922806.

It is an arithmetic number, because the mean of its divisors is an integer number (1360344888).

Almost surely, 254051285920 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 54051285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65296554624).

54051285920 is an abundant number, since it is smaller than the sum of its proper divisors (76541823328).

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

54051285920 is a wasteful number, since it uses less digits than its factorization.

54051285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 54051285920 in words is "fifty-four billion, fifty-one million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 787 940 1504 1574 1880 3148 3760 3935 6296 7520 7870 9133 12592 15740 18266 25184 31480 36532 36989 45665 62960 73064 73978 91330 125920 146128 147956 182660 184945 292256 295912 365320 369890 429251 591824 730640 739780 858502 1183648 1461280 1479560 1717004 2146255 2959120 3434008 4292510 5918240 6868016 7187671 8585020 13736032 14375342 17170040 28750684 34340080 35938355 57501368 68680160 71876710 115002736 143753420 230005472 287506840 337820537 575013680 675641074 1150027360 1351282148 1689102685 2702564296 3378205370 5405128592 6756410740 10810257184 13512821480 27025642960 54051285920