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979678305369 = 323742412
BaseRepresentation
bin11100100000110010110…
…00001001110001011001
310110122201110120101011100
432100121120021301121
5112022340121232434
62030020310022013
7130531225124631
oct16203130116131
93418643511140
10979678305369
1134852a954a45
12139a50347909
13714ca06856a
14355b95416c1
151a73c653699
hexe419609c59

979678305369 has 45 divisors (see below), whose sum is σ = 1460458835979. Its totient is φ = 632830216320.

The previous prime is 979678305313. The next prime is 979678305371. The reversal of 979678305369 is 963503876979.

The square root of 979678305369 is 989787.

It is a perfect power (a square), and thus also a powerful number.

979678305369 is a `hidden beast` number, since 9 + 7 + 9 + 6 + 7 + 83 + 0 + 536 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 140915399769 + 838762905600 = 375387^2 + 915840^2 .

It is not a de Polignac number, because 979678305369 - 211 = 979678303321 is a prime.

It is a super-2 number, since 2×9796783053692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 979678305297 and 979678305306.

It is not an unprimeable number, because it can be changed into a prime (979678305869) 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 44 ways as a sum of consecutive naturals, for example, 4065055089 + ... + 4065055329.

Almost surely, 2979678305369 is an apocalyptic number.

979678305369 is the 989787-th square number.

979678305369 is the 494894-th centered octagonal number.

It is an amenable number.

979678305369 is a deficient number, since it is larger than the sum of its proper divisors (480780530610).

979678305369 is an frugal number, since it uses more digits than its factorization.

979678305369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 979678305369 in words is "nine hundred seventy-nine billion, six hundred seventy-eight million, three hundred five thousand, three hundred sixty-nine".

Divisors: 1 3 9 37 111 241 333 723 1369 2169 4107 8917 12321 26751 50653 58081 80253 151959 174243 329929 455877 522729 989787 1874161 2148997 2969361 5622483 6446991 12207373 16867449 19340973 36622119 79512889 109866357 238538667 451672801 715616001 1355018403 2941976893 4065055209 8825930679 26477792037 108853145041 326559435123 979678305369