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4555745280 = 21132549433
BaseRepresentation
bin1000011111000101…
…10010100000000000
3102202111102211122200
410033202302200000
533312232322110
62032021233200
7220616124132
oct41742624000
912674384580
104555745280
111a28665949
12a71862800
13577ac3c88
1431309b052
151b9e506c0
hex10f8b2800

4555745280 has 144 divisors (see below), whose sum is σ = 15789713940. Its totient is φ = 1214840832.

The previous prime is 4555745279. The next prime is 4555745281. The reversal of 4555745280 is 825475554.

4555745280 is a `hidden beast` number, since 4 + 5 + 55 + 74 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4555745279) and next prime (4555745281).

It can be written as a sum of positive squares in 2 ways, for example, as 4554630144 + 1115136 = 67488^2 + 1056^2 .

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 not an unprimeable number, because it can be changed into a prime (4555745281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67444 + ... + 116876.

Almost surely, 24555745280 is an apocalyptic number.

4555745280 is a gapful number since it is divisible by the number (40) 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 4555745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894856970).

4555745280 is an abundant number, since it is smaller than the sum of its proper divisors (11233968660).

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

4555745280 is a wasteful number, since it uses less digits than its factorization.

4555745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49466 (or 49443 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The square root of 4555745280 is about 67496.2612297896. The cubic root of 4555745280 is about 1657.7529571687.

The spelling of 4555745280 in words is "four billion, five hundred fifty-five million, seven hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 49433 92160 98866 148299 197732 247165 296598 395464 444897 494330 593196 741495 790928 889794 988660 1186392 1482990 1581856 1779588 1977320 2224485 2372784 2965980 3163712 3559176 3954640 4448970 4745568 5931960 6327424 7118352 7909280 8897940 9491136 11863920 12654848 14236704 15818560 17795880 18982272 23727840 25309696 28473408 31637120 35591760 37964544 47455680 50619392 56946816 63274240 71183520 75929088 94911360 101238784 113893632 126548480 142367040 151858176 189822720 227787264 253096960 284734080 303716352 379645440 455574528 506193920 569468160 759290880 911149056 1138936320 1518581760 2277872640 4555745280