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5484774411756 = 22332291373161521
BaseRepresentation
bin100111111010000011000…
…0001111100110111101100
3201102100011100200211002000
41033310012001330313230
51204330304222134011
615355400502332300
71104155552162433
oct117640601746754
921370140624060
105484774411756
111825097193182
12746b9ba2a090
1330a29aa1cb13
1414d67082211a
1597a1182e356
hex4fd0607cdec

5484774411756 has 96 divisors (see below), whose sum is σ = 14292371083200. Its totient is φ = 1818937451520.

The previous prime is 5484774411707. The next prime is 5484774411757. The reversal of 5484774411756 is 6571144774845.

5484774411756 is a `hidden beast` number, since 5 + 4 + 8 + 477 + 44 + 117 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5484774411693 and 5484774411702.

It is not an unprimeable number, because it can be changed into a prime (5484774411757) 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 31 ways as a sum of consecutive naturals, for example, 33876276 + ... + 34037796.

It is an arithmetic number, because the mean of its divisors is an integer number (148878865450).

Almost surely, 25484774411756 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 5484774411756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146185541600).

5484774411756 is an abundant number, since it is smaller than the sum of its proper divisors (8807596671444).

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

5484774411756 is a wasteful number, since it uses less digits than its factorization.

5484774411756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163136 (or 163128 counting only the distinct ones).

The product of its digits is 105369600, while the sum is 63.

The spelling of 5484774411756 in words is "five trillion, four hundred eighty-four billion, seven hundred seventy-four million, four hundred eleven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1373 1374 2061 2746 2748 4119 4122 5492 6183 8238 8244 12357 12366 16476 24714 24732 37071 49428 74142 148284 161521 314417 323042 484563 628834 646084 943251 969126 1257668 1453689 1886502 1938252 2829753 2907378 3773004 4361067 5659506 5814756 8489259 8722134 11319012 16978518 17444268 33957036 36988309 73976618 110964927 147953236 221768333 221929854 332894781 443536666 443859708 665304999 665789562 887073332 998684343 1330609998 1331579124 1995914997 1997368686 2661219996 3991829994 3994737372 5987744991 7983659988 11975489982 23950979964 50784948257 101569896514 152354844771 203139793028 304709689542 457064534313 609419379084 914129068626 1371193602939 1828258137252 2742387205878 5484774411756