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563340113521650 = 233521266133295783
BaseRepresentation
bin1000000000010110101101011…
…1010110101010101111110010
32201212121210022002211111112000
42000011223113112222233302
51042314231023030143100
65314042513032514430
7226441660112533563
oct20005532726525762
92655553262744460
10563340113521650
11153552222922433
125322310824ba16
131b24498b31c4aa
149d17b424aa16a
15451db80d11900
hex2005ad75aabf2

563340113521650 has 96 divisors (see below), whose sum is σ = 1552327710798720. Its totient is φ = 150222798210240.

The previous prime is 563340113521649. The next prime is 563340113521667. The reversal of 563340113521650 is 56125311043365.

563340113521650 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 4 + 0 + 113 + 521 + 6 + 5 + 0 = 666.

563340113521650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 563340113521596 and 563340113521605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169279659 + ... + 172575441.

It is an arithmetic number, because the mean of its divisors is an integer number (16170080320820).

Almost surely, 2563340113521650 is an apocalyptic number.

563340113521650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

563340113521650 is an abundant number, since it is smaller than the sum of its proper divisors (988987597277070).

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

563340113521650 is a wasteful number, since it uses less digits than its factorization.

563340113521650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422417 (or 3422406 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 563340113521650 in words is "five hundred sixty-three trillion, three hundred forty billion, one hundred thirteen million, five hundred twenty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 126613 253226 379839 633065 759678 1139517 1266130 1899195 2279034 3165325 3295783 3418551 3798390 5697585 6330650 6591566 6837102 9495975 9887349 11395170 16478915 17092755 18991950 19774698 28487925 29662047 32957830 34185510 49436745 56975850 59324094 82394575 85463775 88986141 98873490 148310235 164789150 170927550 177972282 247183725 296620470 444930705 494367450 741551175 889861410 1483102350 2224653525 4449307050 417288972979 834577945958 1251866918937 2086444864895 2503733837874 3755600756811 4172889729790 6259334594685 7511201513622 10432224324475 11266802270433 12518669189370 18778003784055 20864448648950 22533604540866 31296672973425 37556007568110 56334011352165 62593345946850 93890018920275 112668022704330 187780037840550 281670056760825 563340113521650