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349045666550 = 2527320352517
BaseRepresentation
bin1010001010001001011…
…11100011001011110110
31020100221121000000222122
411011010233203023312
521204321142312200
6424203243555542
734134451133000
oct5050457431366
91210847000878
10349045666550
111250361a7519
125779282bbb2
1326bb7c60289
1412c72c11370
15912d393385
hex5144be32f6

349045666550 has 48 divisors (see below), whose sum is σ = 757113669600. Its totient is φ = 119672794080.

The previous prime is 349045666523. The next prime is 349045666577. The reversal of 349045666550 is 55666540943.

It is an interprime number because it is at equal distance from previous prime (349045666523) and next prime (349045666577).

It is a junction number, because it is equal to n+sod(n) for n = 349045666492 and 349045666501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10159109 + ... + 10193408.

It is an arithmetic number, because the mean of its divisors is an integer number (15773201450).

Almost surely, 2349045666550 is an apocalyptic number.

349045666550 is an abundant number, since it is smaller than the sum of its proper divisors (408068003050).

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

349045666550 is a wasteful number, since it uses less digits than its factorization.

349045666550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20352550 (or 20352531 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 53.

The spelling of 349045666550 in words is "three hundred forty-nine billion, forty-five million, six hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 686 1225 1715 2450 3430 8575 17150 20352517 40705034 101762585 142467619 203525170 284935238 508812925 712338095 997273333 1017625850 1424676190 1994546666 3561690475 4986366665 6980913331 7123380950 9972733330 13961826662 24931833325 34904566655 49863666650 69809133310 174522833275 349045666550