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349769349251 = 71721113930039
BaseRepresentation
bin1010001011011111110…
…00001011100010000011
31020102211000201221000122
411011233320023202003
521212311423134001
6424403135010455
734161416262050
oct5055770134203
91212730657018
10349769349251
11125377751aa3
1257955069a2b
1326ca1b720aa
1412d00d92027
159171b92b1b
hex516fe0b883

349769349251 has 16 divisors (see below), whose sum is σ = 425256261120. Its totient is φ = 280829566080.

The previous prime is 349769349229. The next prime is 349769349271. The reversal of 349769349251 is 152943967943.

It is a de Polignac number, because none of the positive numbers 2k-349769349251 is a prime.

It is a super-2 number, since 2×3497693492512 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349769349271) 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, 6939911 + ... + 6990128.

It is an arithmetic number, because the mean of its divisors is an integer number (26578516320).

Almost surely, 2349769349251 is an apocalyptic number.

349769349251 is a deficient number, since it is larger than the sum of its proper divisors (75486911869).

349769349251 is a wasteful number, since it uses less digits than its factorization.

349769349251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930274.

The product of its digits is 44089920, while the sum is 62.

The spelling of 349769349251 in words is "three hundred forty-nine billion, seven hundred sixty-nine million, three hundred forty-nine thousand, two hundred fifty-one".

Divisors: 1 7 17 119 211 1477 3587 25109 13930039 97510273 236810663 1657674641 2939238229 20574667603 49967049893 349769349251