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349190252061 = 3719875163539
BaseRepresentation
bin1010001010011010101…
…11000110011000011101
31020101022200001202000120
411011031113012120131
521210120201031221
6424225450545153
734141155112050
oct5051527063035
91211280052016
10349190252061
111250aa880782
12578131381b9
1326c0bbb4831
1412c880caa97
15913ae035c6
hex514d5c661d

349190252061 has 16 divisors (see below), whose sum is σ = 560104665600. Its totient is φ = 189035324208.

The previous prime is 349190252051. The next prime is 349190252083. The reversal of 349190252061 is 160252091943.

It is not a de Polignac number, because 349190252061 - 29 = 349190251549 is a prime.

It is a super-3 number, since 3×3491902520613 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349190252011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437581371 + ... + 437582168.

It is an arithmetic number, because the mean of its divisors is an integer number (35006541600).

Almost surely, 2349190252061 is an apocalyptic number.

It is an amenable number.

349190252061 is a deficient number, since it is larger than the sum of its proper divisors (210914413539).

349190252061 is a wasteful number, since it uses less digits than its factorization.

349190252061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875163568.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 349190252061 in words is "three hundred forty-nine billion, one hundred ninety million, two hundred fifty-two thousand, sixty-one".

Divisors: 1 3 7 19 21 57 133 399 875163539 2625490617 6126144773 16628107241 18378434319 49884321723 116396750687 349190252061