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54024412014 = 23219281641877
BaseRepresentation
bin110010010100000110…
…110001101101101110
312011110001110111001200
4302110012301231232
51341120222141024
640452442350330
73621526632246
oct622406615556
9164401414050
1054024412014
1120a034103a1
12a5787bb3a6
13512c75ab01
142886ddab26
151612d3d2c9
hexc941b1b6e

54024412014 has 96 divisors (see below), whose sum is σ = 123986172960. Its totient is φ = 16953753600.

The previous prime is 54024412009. The next prime is 54024412049. The reversal of 54024412014 is 41021442045.

54024412014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61600944 + ... + 61601820.

It is an arithmetic number, because the mean of its divisors is an integer number (1291522635).

Almost surely, 254024412014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54024412014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61993086480).

54024412014 is an abundant number, since it is smaller than the sum of its proper divisors (69961760946).

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

54024412014 is a wasteful number, since it uses less digits than its factorization.

54024412014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 54024412014 its reverse (41021442045), we get a palindrome (95045854059).

The spelling of 54024412014 in words is "fifty-four billion, twenty-four million, four hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 281 342 562 641 843 877 1282 1686 1754 1923 2529 2631 3846 5058 5262 5339 5769 7893 10678 11538 12179 15786 16017 16663 24358 32034 33326 36537 48051 49989 73074 96102 99978 109611 149967 180121 219222 246437 299934 360242 492874 540363 562157 739311 1080726 1124314 1478622 1621089 1686471 2217933 3242178 3372942 3422299 4435866 4682303 5059413 6844598 9364606 10118826 10266897 10680983 14046909 20533794 21361966 28093818 30800691 32042949 42140727 61601382 64085898 84281454 96128847 157966117 192257694 315932234 473898351 947796702 1421695053 2843390106 3001356223 6002712446 9004068669 18008137338 27012206007 54024412014