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54324010125 = 3353711209039
BaseRepresentation
bin110010100101111101…
…101001110010001101
312012012221012122102000
4302211331221302031
51342223421311000
640542304022513
73632125316160
oct624575516215
9165187178360
1054324010125
112104753a940
12a641001a39
1351798479b8
1428b4b07ad7
15162e2bd000
hexca5f69c8d

54324010125 has 128 divisors (see below), whose sum is σ = 125223321600. Its totient is φ = 22576104000.

The previous prime is 54324010067. The next prime is 54324010127. The reversal of 54324010125 is 52101042345.

It is not a de Polignac number, because 54324010125 - 29 = 54324009613 is a prime.

It is a super-2 number, since 2×543240101252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54324010127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155356 + ... + 364394.

It is an arithmetic number, because the mean of its divisors is an integer number (978307200).

Almost surely, 254324010125 is an apocalyptic number.

54324010125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54324010125 is an abundant number, since it is smaller than the sum of its proper divisors (70899311475).

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

54324010125 is a wasteful number, since it uses less digits than its factorization.

54324010125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209081 (or 209065 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 54324010125 in words is "fifty-four billion, three hundred twenty-four million, ten thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 125 135 165 175 189 225 231 275 297 315 375 385 495 525 675 693 825 875 945 1125 1155 1375 1485 1575 1925 2079 2475 2625 3375 3465 4125 4725 5775 7425 7875 9625 10395 12375 17325 23625 28875 37125 51975 86625 209039 259875 627117 1045195 1463273 1881351 2299429 3135585 4389819 5225975 5644053 6898287 7316365 9406755 11497145 13169457 15677925 16096003 20694861 21949095 26129875 28220265 34491435 36581825 39508371 47033775 48288009 57485725 62084583 65847285 78389625 80480015 103474305 109745475 141101325 144864027 172457175 182909125 197541855 235168875 241440045 287428625 310422915 329236425 402400075 434592081 517371525 548727375 705506625 724320135 862285875 987709275 1207200225 1552114575 1646182125 2012000375 2172960405 2586857625 3621600675 4938546375 6036001125 7760572875 10864802025 18108003375 54324010125