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5474464953984 = 273213365549209
BaseRepresentation
bin100111110101001111110…
…0010011111011010000000
3201101100112212122002200200
41033222133202133122000
51204143201012011414
615350533503045200
71103342226220305
oct117523742373200
921340485562620
105474464953984
111820786824a44
12744ba32a0800
13309316ba2a50
1414cd735470ac
159760b6e5109
hex4fa9f89f680

5474464953984 has 96 divisors (see below), whose sum is σ = 16965138836100. Its totient is φ = 1684450750464.

The previous prime is 5474464953967. The next prime is 5474464953989. The reversal of 5474464953984 is 4893594644745.

5474464953984 is a `hidden beast` number, since 5 + 4 + 7 + 4 + 4 + 6 + 4 + 9 + 539 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5471669505600 + 2795448384 = 2339160^2 + 52872^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5474464953989) 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 11 ways as a sum of consecutive naturals, for example, 182759629 + ... + 182789580.

Almost surely, 25474464953984 is an apocalyptic number.

It is an amenable number.

5474464953984 is an abundant number, since it is smaller than the sum of its proper divisors (11490673882116).

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

5474464953984 is a wasteful number, since it uses less digits than its factorization.

5474464953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365549242 (or 365549227 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 5474464953984 in words is "five trillion, four hundred seventy-four billion, four hundred sixty-four million, nine hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 365549209 731098418 1096647627 1462196836 2193295254 2924393672 3289942881 4386590508 4752139717 5848787344 6579885762 8773181016 9504279434 11697574688 13159771524 14256419151 17546362032 19008558868 23395149376 26319543048 28512838302 35092724064 38017117736 42769257453 46790298752 52639086096 57025676604 70185448128 76034235472 85538514906 105278172192 114051353208 140370896256 152068470944 171077029812 210556344384 228102706416 304136941888 342154059624 421112688768 456205412832 608273883776 684308119248 912410825664 1368616238496 1824821651328 2737232476992 5474464953984