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683149311 = 3213107197277
BaseRepresentation
bin101000101110000…
…000011111111111
31202121110120200100
4220232000133333
52344341234221
6151442132143
722633446645
oct5056003777
91677416610
10683149311
11320690209
12170951053
13ab6bc580
1466a2d195
153ee94926
hex28b807ff

683149311 has 48 divisors (see below), whose sum is σ = 1081944864. Its totient is φ = 412860672.

The previous prime is 683149307. The next prime is 683149319. The reversal of 683149311 is 113941386.

It is not a de Polignac number, because 683149311 - 22 = 683149307 is a prime.

It is a super-2 number, since 2×6831493112 = 933385962239549442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683149319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2466105 + ... + 2466381.

It is an arithmetic number, because the mean of its divisors is an integer number (22540518).

Almost surely, 2683149311 is an apocalyptic number.

683149311 is a deficient number, since it is larger than the sum of its proper divisors (398795553).

683149311 is a wasteful number, since it uses less digits than its factorization.

683149311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 683149311 is about 26137.1251479576. The cubic root of 683149311 is about 880.7213915089.

The spelling of 683149311 in words is "six hundred eighty-three million, one hundred forty-nine thousand, three hundred eleven".

Divisors: 1 3 9 13 39 107 117 197 277 321 591 831 963 1391 1773 2493 2561 3601 4173 7683 10803 12519 21079 23049 29639 32409 54569 63237 88917 163707 189711 266751 274027 385307 491121 709397 822081 1155921 2128191 2466243 3467763 5838883 6384573 17516649 52549947 75905479 227716437 683149311