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8053472160 = 2532522672467
BaseRepresentation
bin1111000000000011…
…00011101110100000
3202210021000202220200
413200001203232200
5112443142102120
63411045505200
7403400245446
oct74001435640
922707022820
108053472160
113462a7a918
121689112200
139b4645a56
14565826b96
1532205de90
hex1e0063ba0

8053472160 has 144 divisors (see below), whose sum is σ = 27505741536. Its totient is φ = 2145775104.

The previous prime is 8053472131. The next prime is 8053472213. The reversal of 8053472160 is 612743508.

8053472160 is a `hidden beast` number, since 80 + 53 + 472 + 1 + 60 = 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3263247 + ... + 3265713.

It is an arithmetic number, because the mean of its divisors is an integer number (191012094).

Almost surely, 28053472160 is an apocalyptic number.

8053472160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8053472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752870768).

8053472160 is an abundant number, since it is smaller than the sum of its proper divisors (19452269376).

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

8053472160 is a wasteful number, since it uses less digits than its factorization.

8053472160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8053472160 is about 89741.1397297806. The cubic root of 8053472160 is about 2004.4461220086.

The spelling of 8053472160 in words is "eight billion, fifty-three million, four hundred seventy-two thousand, one hundred sixty".

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 96 120 144 160 180 240 288 360 480 720 1440 2267 2467 4534 4934 6801 7401 9068 9868 11335 12335 13602 14802 18136 19736 20403 22203 22670 24670 27204 29604 34005 36272 37005 39472 40806 44406 45340 49340 54408 59208 68010 72544 74010 78944 81612 88812 90680 98680 102015 108816 111015 118416 136020 148020 163224 177624 181360 197360 204030 217632 222030 236832 272040 296040 326448 355248 362720 394720 408060 444060 544080 592080 652896 710496 816120 888120 1088160 1184160 1632240 1776240 3264480 3552480 5592689 11185378 16778067 22370756 27963445 33556134 44741512 50334201 55926890 67112268 83890335 89483024 100668402 111853780 134224536 167780670 178966048 201336804 223707560 251671005 268449072 335561340 402673608 447415120 503342010 536898144 671122680 805347216 894830240 1006684020 1342245360 1610694432 2013368040 2684490720 4026736080 8053472160