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10839744405 = 345723374493
BaseRepresentation
bin10100001100001100…
…10101111110010101
31000222102220001220000
422012012111332111
5134144433310110
64551341201513
7532422210240
oct120606257625
930872801800
1010839744405
114662831456
122126260299
131039977759
1474b8b6257
154369861c0
hex286195f95

10839744405 has 160 divisors (see below), whose sum is σ = 23804250624. Its totient is φ = 4610732544.

The previous prime is 10839744401. The next prime is 10839744413. The reversal of 10839744405 is 50444793801.

10839744405 is a `hidden beast` number, since 108 + 39 + 74 + 440 + 5 = 666.

10839744405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10839744405 - 22 = 10839744401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10839744401) 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 159 ways as a sum of consecutive naturals, for example, 2410339 + ... + 2414831.

Almost surely, 210839744405 is an apocalyptic number.

10839744405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10839744405 is an abundant number, since it is smaller than the sum of its proper divisors (12964506219).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10839744405 is a wasteful number, since it uses less digits than its factorization.

10839744405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10839744405 in words is "ten billion, eight hundred thirty-nine million, seven hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 23 27 35 37 45 63 69 81 105 111 115 135 161 185 189 207 259 315 333 345 405 483 555 567 621 777 805 851 945 999 1035 1295 1449 1665 1863 2331 2415 2553 2835 2997 3105 3885 4255 4347 4493 4995 5957 6993 7245 7659 9315 11655 12765 13041 13479 14985 17871 20979 21735 22465 22977 29785 31451 34965 38295 40437 53613 65205 67395 68931 89355 94353 103339 104895 114885 121311 157255 160839 166241 202185 268065 283059 310017 344655 363933 471765 482517 498723 516695 606555 723373 804195 831205 849177 930051 1163687 1415295 1496169 1550085 1819665 2170119 2412585 2493615 2547531 2790153 3491061 3616865 3823543 4245885 4488507 4650255 5818435 6510357 7480845 8370459 10473183 10850595 11470629 12737655 13465521 13950765 17455305 19117715 19531071 22442535 26764801 31419549 32551785 34411887 41852295 52365915 57353145 58593213 67327605 80294403 94258647 97655355 103235661 133824005 157097745 172059435 240883209 292966065 309706983 401472015 471293235 516178305 722649627 1204416045 1548534915 2167948881 3613248135 10839744405