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349512487065 = 32574723607733
BaseRepresentation
bin1010001011000001001…
…00010101000010011001
31020102011010101222100100
411011200210111002121
521211300144041230
6424321441330013
734152150056520
oct5054044250231
91212133358310
10349512487065
111252557616a5
12578a3036909
1326c60899131
1412cb8c0b4b7
159159355660
hex5160915099

349512487065 has 48 divisors (see below), whose sum is σ = 707098848768. Its totient is φ = 156377616768.

The previous prime is 349512486991. The next prime is 349512487099. The reversal of 349512487065 is 560784215943.

It is a happy number.

349512487065 is a `hidden beast` number, since 3 + 4 + 95 + 12 + 487 + 0 + 65 = 666.

It is not a de Polignac number, because 349512487065 - 27 = 349512486937 is a prime.

It is a super-2 number, since 2×3495124870652 (a number of 24 digits) contains 22 as substring.

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, 11789062 + ... + 11818671.

It is an arithmetic number, because the mean of its divisors is an integer number (14731226016).

It is a 1-persistent number, because it is pandigital, but 2⋅349512487065 = 699024974130 is not.

Almost surely, 2349512487065 is an apocalyptic number.

349512487065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349512487065 is an abundant number, since it is smaller than the sum of its proper divisors (357586361703).

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

349512487065 is a wasteful number, since it uses less digits than its factorization.

349512487065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23607798 (or 23607795 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 349512487065 in words is "three hundred forty-nine billion, five hundred twelve million, four hundred eighty-seven thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 14805 23607733 70823199 118038665 165254131 212469597 354115995 495762393 826270655 1062347985 1109563451 1487287179 2478811965 3328690353 5547817255 7436435895 7766944157 9986071059 16643451765 23300832471 38834720785 49930355295 69902497413 116504162355 349512487065