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54185400059 = 72192915113291
BaseRepresentation
bin110010011101101100…
…111001011011111011
312011212021101112010212
4302131230321123323
51341432430300214
640520433101335
73625523205200
oct623554713373
9164767345125
1054185400059
1120a8627806a
12a6026b784b
135156c061cb
1428a0545ca7
15162203d53e
hexc9db396fb

54185400059 has 48 divisors (see below), whose sum is σ = 69097132800. Its totient is φ = 42198408000.

The previous prime is 54185399993. The next prime is 54185400083. The reversal of 54185400059 is 95000458145.

It is not a de Polignac number, because 54185400059 - 220 = 54184351483 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54185399989 and 54185400025.

It is not an unprimeable number, because it can be changed into a prime (54185400359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4070204 + ... + 4083494.

It is an arithmetic number, because the mean of its divisors is an integer number (1439523600).

Almost surely, 254185400059 is an apocalyptic number.

54185400059 is a deficient number, since it is larger than the sum of its proper divisors (14911732741).

54185400059 is a wasteful number, since it uses less digits than its factorization.

54185400059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13497 counting only the distinct ones).

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

The spelling of 54185400059 in words is "fifty-four billion, one hundred eighty-five million, four hundred thousand, fifty-nine".

Divisors: 1 7 19 29 49 133 151 203 551 931 1057 1421 2869 3857 4379 7399 13291 20083 26999 30653 83201 93037 140581 214571 252529 385439 582407 651259 1767703 2006941 2698073 4076849 7323341 12373921 14048587 18886511 38131879 51263387 58201289 98340109 266923153 358843709 407409023 1105824491 1868462071 2851863161 7740771437 54185400059