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10542759645 = 3511247731693
BaseRepresentation
bin10011101000110010…
…11011111011011101
31000012202001200101110
421310121123323131
5133042421302040
64502051532233
7522154656405
oct116431337335
930182050343
1010542759645
114520127400
1220628ba079
13cc0294222
14720289805
1541a870980
hex27465bedd

10542759645 has 96 divisors (see below), whose sum is σ = 19206544896. Its totient is φ = 4931435520.

The previous prime is 10542759637. The next prime is 10542759679. The reversal of 10542759645 is 54695724501.

It is not a de Polignac number, because 10542759645 - 23 = 10542759637 is a prime.

It is a super-2 number, since 2×105427596452 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10542759594 and 10542759603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6226419 + ... + 6228111.

It is an arithmetic number, because the mean of its divisors is an integer number (200068176).

Almost surely, 210542759645 is an apocalyptic number.

10542759645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10542759645 is a deficient number, since it is larger than the sum of its proper divisors (8663785251).

10542759645 is a wasteful number, since it uses less digits than its factorization.

10542759645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 10542759645 in words is "ten billion, five hundred forty-two million, seven hundred fifty-nine thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 47 55 73 121 141 165 219 235 363 365 517 605 705 803 1095 1551 1693 1815 2409 2585 3431 4015 5079 5687 7755 8465 8833 10293 12045 17061 17155 18623 25395 26499 28435 37741 44165 51465 55869 79571 85305 93115 113223 123589 132495 188705 204853 238713 279345 370767 397855 415151 566115 614559 617945 875281 1024265 1193565 1245453 1359479 1853835 2075755 2625843 3072795 4078437 4376405 5808683 6227265 6797395 9628091 13129215 14954269 17426049 20392185 28884273 29043415 44862807 48140455 63895513 74771345 87130245 144421365 191686539 224314035 319477565 702850643 958432695 2108551929 3514253215 10542759645