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54155300355104 = 2513298849507289
BaseRepresentation
bin11000101000001000000110…
…11100001011110000100000
321002202012021222212102020212
430110010003130023300200
524044240023342330404
6311102333532553252
714256406553601644
oct1424040334136040
9232665258772225
1054155300355104
111628a152252073
1260a77b0622828
13242aa90c20050
14d531b8222c24
1563da84bd006e
hex31410370bc20

54155300355104 has 96 divisors (see below), whose sum is σ = 118792606590000. Its totient is φ = 24130091188224.

The previous prime is 54155300355103. The next prime is 54155300355109. The reversal of 54155300355104 is 40155300355145.

It can be written as a sum of positive squares in 8 ways, for example, as 1020706090000 + 53134594265104 = 1010300^2 + 7289348^2 .

It is not an unprimeable number, because it can be changed into a prime (54155300355103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106500692 + ... + 107007980.

Almost surely, 254155300355104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54155300355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59396303295000).

54155300355104 is an abundant number, since it is smaller than the sum of its proper divisors (64637306234896).

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

54155300355104 is a wasteful number, since it uses less digits than its factorization.

54155300355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516190 (or 516182 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

Adding to 54155300355104 its sum of digits (41), we get a palindrome (54155300355145).

The spelling of 54155300355104 in words is "fifty-four trillion, one hundred fifty-five billion, three hundred million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 8849 12064 17698 35396 70792 115037 141584 230074 256621 283168 460148 507289 513242 920296 1014578 1026484 1840592 2029156 2052968 3336073 3681184 4058312 4105936 6594757 6672146 8116624 8211872 13189514 13344292 14711381 16233248 26379028 26688584 29422762 52758056 53377168 58845524 105516112 106754336 117691048 191247953 211032224 235382096 382495906 470764192 764991812 1529983624 3059967248 4489000361 6119934496 8978000722 17956001444 35912002888 58357004693 71824005776 116714009386 130181010469 143648011552 233428018772 260362020938 466856037544 520724041876 933712075088 1041448083752 1692353136097 1867424150176 2082896167504 3384706272194 4165792335008 6769412544388 13538825088776 27077650177552 54155300355104