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5280575248000 = 27531325387381
BaseRepresentation
bin100110011010111101011…
…0011111101011010000000
3200200211002100221111211001
41030311322303331122000
51143004104230414000
615121510205501344
71053336402006463
oct114657263753200
920624070844731
105280575248000
111756530077108
127134b1b71854
132c3c57758780
1414381cb852da
159255e8e346a
hex4cd7acfd680

5280575248000 has 128 divisors (see below), whose sum is σ = 14138740783440. Its totient is φ = 1949750784000.

The previous prime is 5280575247967. The next prime is 5280575248001. The reversal of 5280575248000 is 8425750825.

It can be written as a sum of positive squares in 8 ways, for example, as 569348720704 + 4711226527296 = 754552^2 + 2170536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5280575248001) 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 15 ways as a sum of consecutive naturals, for example, 12485691 + ... + 12901690.

Almost surely, 25280575248000 is an apocalyptic number.

5280575248000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5280575248000 is an abundant number, since it is smaller than the sum of its proper divisors (8858165535440).

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

5280575248000 is a wasteful number, since it uses less digits than its factorization.

5280575248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387423 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 46.

The spelling of 5280575248000 in words is "five trillion, two hundred eighty billion, five hundred seventy-five million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1300 1600 1625 1664 2000 2080 2600 3200 3250 4000 4160 5200 6500 8000 8320 10400 13000 16000 20800 26000 41600 52000 104000 208000 25387381 50774762 101549524 126936905 203099048 253873810 330035953 406198096 507747620 634684525 660071906 812396192 1015495240 1269369050 1320143812 1624792384 1650179765 2030990480 2538738100 2640287624 3173422625 3249584768 3300359530 4061980960 5077476200 5280575248 6346845250 6600719060 8123961920 8250898825 10154952400 10561150496 12693690500 13201438120 16247923840 16501797650 20309904800 21122300992 25387381000 26402876240 33003595300 40619809600 41254494125 42244601984 50774762000 52805752480 66007190600 81239619200 82508988250 101549524000 105611504960 132014381200 165017976500 203099048000 211223009920 264028762400 330035953000 406198096000 528057524800 660071906000 1056115049600 1320143812000 2640287624000 5280575248000