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43377961104 = 243619119471
BaseRepresentation
bin101000011001100001…
…110010100010010000
311010222002021202000000
4220121201302202100
51202314224223404
631532204130000
73063642404622
oct503141624220
9133862252000
1043377961104
111743a801235
1284a7236900
134123b5cc0a
14215707cc12
1511dd339339
hexa19872890

43377961104 has 140 divisors (see below), whose sum is σ = 126675796992. Its totient is φ = 14382878400.

The previous prime is 43377961103. The next prime is 43377961177. The reversal of 43377961104 is 40116977334.

It is a self number, because there is not a number n which added to its sum of digits gives 43377961104.

It is not an unprimeable number, because it can be changed into a prime (43377961103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2218089 + ... + 2237559.

Almost surely, 243377961104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43377961104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63337898496).

43377961104 is an abundant number, since it is smaller than the sum of its proper divisors (83297835888).

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

43377961104 is a wasteful number, since it uses less digits than its factorization.

43377961104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19688 (or 19667 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 43377961104 in words is "forty-three billion, three hundred seventy-seven million, nine hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 243 324 382 432 486 573 648 729 764 972 1146 1296 1458 1528 1719 1944 2292 2916 3056 3438 3888 4584 5157 5832 6876 9168 10314 11664 13752 15471 19471 20628 27504 30942 38942 41256 46413 58413 61884 77884 82512 92826 116826 123768 139239 155768 175239 185652 233652 247536 278478 311536 350478 371304 467304 525717 556956 700956 742608 934608 1051434 1113912 1401912 1577151 2102868 2227824 2803824 3154302 3718961 4205736 4731453 6308604 7437922 8411472 9462906 11156883 12617208 14194359 14875844 18925812 22313766 25234416 28388718 29751688 33470649 37851624 44627532 56777436 59503376 66941298 75703248 89255064 100411947 113554872 133882596 178510128 200823894 227109744 267765192 301235841 401647788 535530384 602471682 803295576 903707523 1204943364 1606591152 1807415046 2409886728 2711122569 3614830092 4819773456 5422245138 7229660184 10844490276 14459320368 21688980552 43377961104