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54724004712 = 23321358465817
BaseRepresentation
bin110010111101110011…
…100000101101101000
312020020210212110211100
4302331303200231220
51344033321122322
641050113201400
73645053236146
oct627563405550
9166223773740
1054724004712
1121232301783
12a732b60260
1352116869a0
142911caa596
15165447edac
hexcbdce0b68

54724004712 has 48 divisors (see below), whose sum is σ = 159611683140. Its totient is φ = 16838155008.

The previous prime is 54724004711. The next prime is 54724004747. The reversal of 54724004712 is 21740042745.

54724004712 is a `hidden beast` number, since 547 + 2 + 40 + 0 + 4 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52035996996 + 2688007716 = 228114^2 + 51846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54724004711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29231973 + ... + 29233844.

Almost surely, 254724004712 is an apocalyptic number.

54724004712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54724004712 is an abundant number, since it is smaller than the sum of its proper divisors (104887678428).

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

54724004712 is a wasteful number, since it uses less digits than its factorization.

54724004712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58465842 (or 58465835 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 54724004712 in words is "fifty-four billion, seven hundred twenty-four million, four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 58465817 116931634 175397451 233863268 350794902 467726536 526192353 701589804 760055621 1052384706 1403179608 1520111242 2104769412 2280166863 3040222484 4209538824 4560333726 6080444968 6840500589 9120667452 13681001178 18241334904 27362002356 54724004712