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5484186720 = 2532513727799
BaseRepresentation
bin1010001101110001…
…00000110001100000
3112011012110112212200
411012320200301200
542212422433340
62304105053200
7252621550365
oct50670406140
915135415780
105484186720
112364753721
121090787200
136952680cc
143a04dc46c
152216e9330
hex146e20c60

5484186720 has 144 divisors (see below), whose sum is σ = 18852069600. Its totient is φ = 1451722752.

The previous prime is 5484186709. The next prime is 5484186727. The reversal of 5484186720 is 276814845.

5484186720 is a `hidden beast` number, since 548 + 4 + 1 + 86 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484186727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183381 + ... + 211179.

It is an arithmetic number, because the mean of its divisors is an integer number (130917150).

Almost surely, 25484186720 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 5484186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426034800).

5484186720 is an abundant number, since it is smaller than the sum of its proper divisors (13367882880).

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

5484186720 is a wasteful number, since it uses less digits than its factorization.

5484186720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27957 (or 27946 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5484186720 is about 74055.2950166293. The cubic root of 5484186720 is about 1763.4808350789.

The spelling of 5484186720 in words is "five billion, four hundred eighty-four million, one hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 137 144 160 180 240 274 288 360 411 480 548 685 720 822 1096 1233 1370 1440 1644 2055 2192 2466 2740 3288 4110 4384 4932 5480 6165 6576 8220 9864 10960 12330 13152 16440 19728 21920 24660 27799 32880 39456 49320 55598 65760 83397 98640 111196 138995 166794 197280 222392 250191 277990 333588 416985 444784 500382 555980 667176 833970 889568 1000764 1111960 1250955 1334352 1667940 2001528 2223920 2501910 2668704 3335880 3808463 4003056 4447840 5003820 6671760 7616926 8006112 10007640 11425389 13343520 15233852 19042315 20015280 22850778 30467704 34276167 38084630 40030560 45701556 57126945 60935408 68552334 76169260 91403112 114253890 121870816 137104668 152338520 171380835 182806224 228507780 274209336 304677040 342761670 365612448 457015560 548418672 609354080 685523340 914031120 1096837344 1371046680 1828062240 2742093360 5484186720