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11792053728 = 2532713449941
BaseRepresentation
bin10101111101101110…
…00111010111100000
31010102210211101200200
422332313013113200
5143122231204403
65230040345200
7565134542250
oct127667072740
933383741620
1011792053728
115001341554
122351175200
13115c0576b0
147dc16b960
15490396ca3
hex2bedc75e0

11792053728 has 144 divisors (see below), whose sum is σ = 41272279776. Its totient is φ = 3109985280.

The previous prime is 11792053697. The next prime is 11792053729. The reversal of 11792053728 is 82735029711.

11792053728 is a `hidden beast` number, since 1 + 1 + 7 + 92 + 0 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×117920537282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792053729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198763 + ... + 251178.

It is an arithmetic number, because the mean of its divisors is an integer number (286613054).

Almost surely, 211792053728 is an apocalyptic number.

11792053728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11792053728 is an abundant number, since it is smaller than the sum of its proper divisors (29480226048).

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

11792053728 is a wasteful number, since it uses less digits than its factorization.

11792053728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449977 (or 449966 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11792053728 in words is "eleven billion, seven hundred ninety-two million, fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 449941 899882 1349823 1799764 2699646 3149587 3599528 4049469 5399292 5849233 6299174 7199056 8098938 9448761 10798584 11698466 12598348 14398112 16197876 17547699 18897522 21597168 23396932 25196696 28346283 32395752 35095398 37795044 40944631 43194336 46793864 50393392 52643097 56692566 64791504 70190796 75590088 81889262 93587728 100786784 105286194 113385132 122833893 129583008 140381592 151180176 163778524 187175456 210572388 226770264 245667786 280763184 302360352 327557048 368501679 421144776 453540528 491335572 561526368 655114096 737003358 842289552 907081056 982671144 1310228192 1474006716 1684579104 1965342288 2948013432 3930684576 5896026864 11792053728