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830993206967 = 711178318894049
BaseRepresentation
bin11000001011110110000…
…11100000111010110111
32221102221100022210011222
430011323003200322313
5102103333230110332
61433430352220555
7114015533500010
oct14057303407267
92842840283158
10830993206967
112a0471001930
12115075b3a75b
13604930409b1
142c312670007
1516939209712
hexc17b0e0eb7

830993206967 has 64 divisors (see below), whose sum is σ = 1111065984000. Its totient is φ = 601627361280.

The previous prime is 830993206961. The next prime is 830993207021. The reversal of 830993206967 is 769602399038.

It is not a de Polignac number, because 830993206967 - 26 = 830993206903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830993206961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205232159 + ... + 205236207.

It is an arithmetic number, because the mean of its divisors is an integer number (17360406000).

Almost surely, 2830993206967 is an apocalyptic number.

830993206967 is a deficient number, since it is larger than the sum of its proper divisors (280072777033).

830993206967 is a wasteful number, since it uses less digits than its factorization.

830993206967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056.

The product of its (nonzero) digits is 26453952, while the sum is 62.

The spelling of 830993206967 in words is "eight hundred thirty billion, nine hundred ninety-three million, two hundred six thousand, nine hundred sixty-seven".

Divisors: 1 7 11 17 77 83 119 187 581 913 1309 1411 1889 4049 6391 9877 13223 15521 20779 28343 32113 44539 68833 108647 145453 156787 224791 311773 336067 353243 481831 757163 1097509 1724657 2352469 2472701 2665379 3696737 5300141 5713139 7648561 12072599 18657653 25877159 29319169 39991973 53539927 62844529 84134171 130025537 205234183 439911703 588939197 634830563 910178759 1430280907 4443813941 6983136193 10011966349 10792119571 48881953351 75544836997 118713315281 830993206967