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830763049689 = 323743499116269
BaseRepresentation
bin11000001011011010101…
…01100010001011011001
32221102100022020120202100
430011231111202023121
5102102400320042224
61433351451154013
7114010040260356
oct14055525421331
92842308216670
10830763049689
112a03630a1301
12115010a45909
1360457457c61
142c2cdc7b62d
1516923de4ac9
hexc16d5622d9

830763049689 has 48 divisors (see below), whose sum is σ = 1263622360000. Its totient is φ = 525282081408.

The previous prime is 830763049681. The next prime is 830763049693. The reversal of 830763049689 is 986940367038.

830763049689 is a `hidden beast` number, since 8 + 3 + 0 + 7 + 63 + 0 + 496 + 89 = 666.

It is not a de Polignac number, because 830763049689 - 23 = 830763049681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830763049681) 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 47 ways as a sum of consecutive naturals, for example, 7087047 + ... + 7203315.

Almost surely, 2830763049689 is an apocalyptic number.

It is an amenable number.

830763049689 is a deficient number, since it is larger than the sum of its proper divisors (432859310311).

830763049689 is a wasteful number, since it uses less digits than its factorization.

830763049689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116854 (or 116851 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 830763049689 in words is "eight hundred thirty billion, seven hundred sixty-three million, forty-nine thousand, six hundred eighty-nine".

Divisors: 1 3 9 37 43 111 129 333 387 499 1497 1591 4491 4773 14319 18463 21457 55389 64371 116269 166167 193113 348807 793909 1046421 2381727 4301953 4999567 7145181 12905859 14998701 38717577 44996103 58018231 174054693 184983979 522164079 554951937 1664855811 2146674547 2494783933 6440023641 7484351799 19320070923 22453055397 92307005521 276921016563 830763049689