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1030793756445 = 385155320233
BaseRepresentation
bin11110000000000000001…
…10000111111100011101
310122112122210022100000000
433000000012013330131
5113342031200201240
62105312355324513
7134321013235425
oct17000006077435
93575583270000
101030793756445
11368180225992
121479368b0739
1376284c389bb
1437c68073485
151bc2edd2430
hexf000187f1d

1030793756445 has 72 divisors (see below), whose sum is σ = 1856620931256. Its totient is φ = 549375519744.

The previous prime is 1030793756393. The next prime is 1030793756479. The reversal of 1030793756445 is 5446573970301.

1030793756445 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 7 + 9 + 37 + 564 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10715976324 + 1020077780121 = 103518^2 + 1009989^2 .

It is not a de Polignac number, because 1030793756445 - 217 = 1030793625373 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030793756391 and 1030793756400.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 50936049 + ... + 50956281.

It is an arithmetic number, because the mean of its divisors is an integer number (25786401823).

Almost surely, 21030793756445 is an apocalyptic number.

1030793756445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1030793756445 is a deficient number, since it is larger than the sum of its proper divisors (825827174811).

1030793756445 is an frugal number, since it uses more digits than its factorization.

1030793756445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21815 (or 21794 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 1030793756445 in words is "one trillion, thirty billion, seven hundred ninety-three million, seven hundred fifty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 1553 2187 3645 4659 6561 7765 10935 13977 20233 23295 32805 41931 60699 69885 101165 125793 182097 209655 303495 377379 546291 628965 910485 1132137 1638873 1886895 2731455 3396411 4916619 5660685 8194365 10189233 14749857 16982055 24583095 31421849 44249571 50946165 73749285 94265547 132748713 157109245 221247855 282796641 471327735 663743565 848389923 1413983205 2545169769 4241949615 7635509307 12725848845 22906527921 38177546535 68719583763 114532639605 206158751289 343597918815 1030793756445