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54508126540 = 2257896077207
BaseRepresentation
bin110010110000111100…
…000000000101001100
312012200202122201122111
4302300330000011030
51343113040022130
641012442153404
73636522300550
oct626074000514
9165622581574
1054508126540
112113146426a
12a6927b2864
1351a8a3041a
1428d1353860
15164053b02a
hexcb0f0014c

54508126540 has 96 divisors (see below), whose sum is σ = 132525711360. Its totient is φ = 18445515264.

The previous prime is 54508126537. The next prime is 54508126549. The reversal of 54508126540 is 4562180545.

It is a super-2 number, since 2×545081265402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54508126493 and 54508126502.

It is not an unprimeable number, because it can be changed into a prime (54508126549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7559617 + ... + 7566823.

It is an arithmetic number, because the mean of its divisors is an integer number (1380476160).

Almost surely, 254508126540 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 54508126540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66262855680).

54508126540 is an abundant number, since it is smaller than the sum of its proper divisors (78017584820).

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

54508126540 is a wasteful number, since it uses less digits than its factorization.

54508126540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 54508126540 in words is "fifty-four billion, five hundred eight million, one hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 607 623 890 1214 1246 1780 2428 2492 3035 3115 4249 6070 6230 7207 8498 12140 12460 14414 16996 21245 28828 36035 42490 50449 54023 72070 84980 100898 108046 144140 201796 216092 252245 270115 378161 504490 540230 641423 756322 1008980 1080460 1282846 1512644 1890805 2565692 3207115 3781610 4374649 4489961 6414230 7563220 8749298 8979922 12828460 17498596 17959844 21873245 22449805 30622543 43746490 44899610 61245086 87492980 89799220 122490172 153112715 306225430 389343761 612450860 778687522 1557375044 1946718805 2725406327 3893437610 5450812654 7786875220 10901625308 13627031635 27254063270 54508126540