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54042520346460 = 2232511092503108161
BaseRepresentation
bin11000100100110110000010…
…01110100101111101011100
321002100102012011101100221200
430102123001032211331130
524040413040202041320
6310534442513555500
714245305014415012
oct1422330116457534
9232312164340850
1054042520346460
1116246338939358
126089976875b90
1324202597a5419
14d4b959b408b2
1563ab839eb290
hex3126c13a5f5c

54042520346460 has 144 divisors (see below), whose sum is σ = 164143864946880. Its totient is φ = 14392458362880.

The previous prime is 54042520346431. The next prime is 54042520346461. The reversal of 54042520346460 is 6464302524045.

It is a happy number.

54042520346460 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 2 + 520 + 3 + 4 + 64 + 60 = 666.

54042520346460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54042520346461) 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, 499594780 + ... + 499702940.

It is an arithmetic number, because the mean of its divisors is an integer number (1139887951020).

Almost surely, 254042520346460 is an apocalyptic number.

It is an amenable number.

54042520346460 is an abundant number, since it is smaller than the sum of its proper divisors (110101344600420).

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

54042520346460 is a wasteful number, since it uses less digits than its factorization.

54042520346460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111788 (or 111783 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 54042520346460 in words is "fifty-four trillion, forty-two billion, five hundred twenty million, three hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1109 2218 2503 3327 4436 5006 5545 6654 7509 9981 10012 11090 12515 13308 15018 16635 19962 22180 22527 25030 30036 33270 37545 39924 45054 49905 50060 66540 75090 90108 99810 108161 112635 150180 199620 216322 225270 324483 432644 450540 540805 648966 973449 1081610 1297932 1622415 1946898 2163220 2775827 3244830 3893796 4867245 5551654 6489660 8327481 9734490 11103308 13879135 16654962 19468980 24982443 27758270 33309924 41637405 49964886 55516540 83274810 99929772 119950549 124912215 166549620 239901098 249824430 270726983 359851647 479802196 499648860 541453966 599752745 719703294 812180949 1079554941 1082907932 1199505490 1353634915 1439406588 1624361898 1799258235 2159109882 2399010980 2436542847 2707269830 3248723796 3598516470 4060904745 4318219764 4873085694 5397774705 5414539660 7197032940 8121809490 9746171388 10795549410 12182714235 16243618980 21591098820 24365428470 48730856940 300236224147 600472448294 900708672441 1200944896588 1501181120735 1801417344882 2702126017323 3002362241470 3602834689764 4503543362205 5404252034646 6004724482940 9007086724410 10808504069292 13510630086615 18014173448820 27021260173230 54042520346460