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54883651010368 = 2619672387928211
BaseRepresentation
bin11000111101010100110001…
…00001011011111101000000
321012022211022000010022201211
430132222120201123331000
524143203204124312433
6312421111243135504
714363133015166045
oct1436523041337500
9235284260108654
1054883651010368
11165400311aa674
1261a499b814594
132481676b3023b
14d7a5508b51cc
156529b2bb68cd
hex31ea9885bf40

54883651010368 has 112 divisors (see below), whose sum is σ = 116361906163200. Its totient is φ = 25607516014080.

The previous prime is 54883651010297. The next prime is 54883651010411. The reversal of 54883651010368 is 86301015638845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945455783 + ... + 1945483993.

Almost surely, 254883651010368 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 54883651010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58180953081600).

54883651010368 is an abundant number, since it is smaller than the sum of its proper divisors (61478255152832).

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

54883651010368 is a wasteful number, since it uses less digits than its factorization.

54883651010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52188 (or 52178 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 54883651010368 in words is "fifty-four trillion, eight hundred eighty-three billion, six hundred fifty-one million, ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 134 152 268 304 536 608 1072 1216 1273 2144 2546 4288 5092 10184 20368 23879 28211 40736 47758 56422 81472 95516 112844 191032 225688 382064 451376 453701 536009 764128 902752 907402 1072018 1528256 1599893 1805504 1814804 1890137 2144036 3199786 3629608 3780274 4288072 6399572 7259216 7560548 8576144 12799144 14518432 15121096 17152288 25598288 29036864 30242192 30397967 34304576 35912603 51196576 60484384 60795934 71825206 102393152 120968768 121591868 143650412 243183736 287300824 486367472 574601648 673650469 972734944 1149203296 1347300938 1945469888 2298406592 2694601876 5389203752 10778407504 12799358911 21556815008 25598717822 43113630016 45134581423 51197435644 90269162846 102394871288 180538325692 204789742576 361076651384 409579485152 722153302768 819158970304 857557047037 1444306605536 1715114094074 2888613211072 3430228188148 6860456376296 13720912752592 27441825505184 54883651010368