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54256323852 = 22334161200869
BaseRepresentation
bin110010100001111011…
…011100110100001100
312012001012211211022000
4302201323130310030
51342104104330402
640531445152300
73630344100123
oct624173346414
9165035754260
1054256323852
112101230a175
12a6223bb690
135168809353
1428a9b28aba
15162839cc1c
hexca1edcd0c

54256323852 has 96 divisors (see below), whose sum is σ = 146458334400. Its totient is φ = 17354995200.

The previous prime is 54256323833. The next prime is 54256323859. The reversal of 54256323852 is 25832365245.

54256323852 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 632 + 3 + 8 + 5 + 2 = 666.

54256323852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54256323798 and 54256323807.

It is not an unprimeable number, because it can be changed into a prime (54256323859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169674 + ... + 370542.

It is an arithmetic number, because the mean of its divisors is an integer number (1525607650).

Almost surely, 254256323852 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 54256323852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73229167200).

54256323852 is an abundant number, since it is smaller than the sum of its proper divisors (92202010548).

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

54256323852 is a wasteful number, since it uses less digits than its factorization.

54256323852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200984 (or 200976 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 54256323852 in words is "fifty-four billion, two hundred fifty-six million, three hundred twenty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 61 82 108 122 123 164 183 244 246 366 369 492 549 732 738 1098 1107 1476 1647 2196 2214 2501 3294 4428 5002 6588 7503 10004 15006 22509 30012 45018 67527 90036 135054 200869 270108 401738 602607 803476 1205214 1807821 2410428 3615642 5423463 7231284 8235629 10846926 12253009 16471258 21693852 24506018 24706887 32942516 36759027 49012036 49413774 73518054 74120661 98827548 110277081 147036108 148241322 220554162 222361983 296482644 330831243 441108324 444723966 502373369 661662486 889447932 1004746738 1323324972 1507120107 2009493476 3014240214 4521360321 6028480428 9042720642 13564080963 18085441284 27128161926 54256323852