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11739965445 = 365131092273
BaseRepresentation
bin10101110111100000…
…11010100000000101
31010022011211001000000
422323300122200011
5143020412343240
65220540111513
7563633026335
oct127360324005
933264731000
1011739965445
114a849a488a
122337835599
13115131a920
147d528d0c5
1548aa08430
hex2bbc1a805

11739965445 has 112 divisors (see below), whose sum is σ = 22965853680. Its totient is φ = 5724131328.

The previous prime is 11739965311. The next prime is 11739965473. The reversal of 11739965445 is 54456993711.

11739965445 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 9 + 96 + 544 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40947201 + 11699018244 = 6399^2 + 108162^2 .

It is not a de Polignac number, because 11739965445 - 28 = 11739965189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11739965391 and 11739965400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5163829 + ... + 5166101.

It is an arithmetic number, because the mean of its divisors is an integer number (205052265).

Almost surely, 211739965445 is an apocalyptic number.

11739965445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11739965445 is a deficient number, since it is larger than the sum of its proper divisors (11225888235).

11739965445 is a wasteful number, since it uses less digits than its factorization.

11739965445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2403 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 11739965445 in words is "eleven billion, seven hundred thirty-nine million, nine hundred sixty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 109 117 135 195 243 327 351 405 545 585 729 981 1053 1215 1417 1635 1755 2273 2943 3159 3645 4251 4905 5265 6819 7085 8829 9477 11365 12753 14715 15795 20457 21255 26487 29549 34095 38259 44145 47385 61371 63765 79461 88647 102285 114777 132435 147745 184113 191295 247757 265941 306855 344331 397305 443235 552339 573885 743271 797823 920565 1032993 1238785 1329705 1657017 1721655 2229813 2393469 2761695 3220841 3716355 3989115 5164965 6689439 7180407 8285085 9662523 11149065 11967345 16104205 20068317 21541221 28987569 33447195 35902035 48312615 60204951 86962707 100341585 107706105 144937845 180614853 260888121 301024755 434813535 782664363 903074265 1304440605 2347993089 3913321815 11739965445