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349121769810 = 235111955681303
BaseRepresentation
bin1010001010010010100…
…01110111000101010010
31020101010220012111000220
411011021101313011102
521210000133113220
6424215003053510
734136364036252
oct5051121670522
91211126174026
10349121769810
11125075156a80
12577b4211296
1326bca957aa8
1412c7cd81962
159134dc7540
hex5149477152

349121769810 has 64 divisors (see below), whose sum is σ = 962172933120. Its totient is φ = 80181074880.

The previous prime is 349121769749. The next prime is 349121769877. The reversal of 349121769810 is 18967121943.

It is a super-2 number, since 2×3491217698102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27834382 + ... + 27846921.

It is an arithmetic number, because the mean of its divisors is an integer number (15033952080).

Almost surely, 2349121769810 is an apocalyptic number.

349121769810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349121769810 is an abundant number, since it is smaller than the sum of its proper divisors (613051163310).

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

349121769810 is a wasteful number, since it uses less digits than its factorization.

349121769810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55681343.

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 349121769810 in words is "three hundred forty-nine billion, one hundred twenty-one million, seven hundred sixty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 55681303 111362606 167043909 278406515 334087818 556813030 612494333 835219545 1057944757 1224988666 1670439090 1837482999 2115889514 3062471665 3173834271 3674965998 5289723785 6124943330 6347668542 9187414995 10579447570 11637392327 15869171355 18374829990 23274784654 31738342710 34912176981 58186961635 69824353962 116373923270 174560884905 349121769810