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54502420325 = 5217413127829
BaseRepresentation
bin110010110000100110…
…001110111101100101
312012200100220211012012
4302300212032331211
51343110104422300
641012120004005
73636422633423
oct626046167545
9165610824165
1054502420325
1121129217091
12a690900605
1351a77b3072
1428d06aa113
15163ecb0435
hexcb098ef65

54502420325 has 24 divisors (see below), whose sum is σ = 73303823880. Its totient is φ = 40036198400.

The previous prime is 54502420307. The next prime is 54502420337. The reversal of 54502420325 is 52302420545.

It can be written as a sum of positive squares in 12 ways, for example, as 21651945316 + 32850475009 = 147146^2 + 181247^2 .

It is not a de Polignac number, because 54502420325 - 228 = 54233984869 is a prime.

It is a super-3 number, since 3×545024203253 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54502420291 and 54502420300.

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 23 ways as a sum of consecutive naturals, for example, 1546490 + ... + 1581339.

It is an arithmetic number, because the mean of its divisors is an integer number (3054325995).

Almost surely, 254502420325 is an apocalyptic number.

It is an amenable number.

54502420325 is a deficient number, since it is larger than the sum of its proper divisors (18801403555).

54502420325 is a wasteful number, since it uses less digits than its factorization.

54502420325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127897 (or 3127892 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 54502420325 in words is "fifty-four billion, five hundred two million, four hundred twenty thousand, three hundred twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 1025 3485 17425 3127829 15639145 53173093 78195725 128240989 265865465 641204945 1329327325 2180096813 3206024725 10900484065 54502420325