Search a number
-
+
43433204864 = 277268310139
BaseRepresentation
bin101000011100110100…
…100001110010000000
311011002221020102012012
4220130310201302000
51202422400023424
631541500152052
73065213102300
oct503464416200
9134087212165
1043433204864
1117468a03735
128501838628
13413243302a
14216053d600
1511e30ecb0e
hexa1cd21c80

43433204864 has 96 divisors (see below), whose sum is σ = 100811271600. Its totient is φ = 18585143808.

The previous prime is 43433204861. The next prime is 43433204879. The reversal of 43433204864 is 46840233434.

It is not an unprimeable number, because it can be changed into a prime (43433204861) 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 11 ways as a sum of consecutive naturals, for example, 4278707 + ... + 4288845.

Almost surely, 243433204864 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 43433204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50405635800).

43433204864 is an abundant number, since it is smaller than the sum of its proper divisors (57378066736).

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

43433204864 is a wasteful number, since it uses less digits than its factorization.

43433204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 41.

The spelling of 43433204864 in words is "forty-three billion, four hundred thirty-three million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 683 784 896 1366 1568 2732 3136 4781 5464 6272 9562 10139 10928 19124 20278 21856 33467 38248 40556 43712 66934 70973 76496 81112 87424 133868 141946 152992 162224 267736 283892 305984 324448 496811 535472 567784 611968 648896 993622 1070944 1135568 1297792 1987244 2141888 2271136 3974488 4283776 4542272 6924937 7948976 9084544 13849874 15897952 27699748 31795904 48474559 55399496 63591808 96949118 110798992 193898236 221597984 339321913 387796472 443195968 678643826 775592944 886391936 1357287652 1551185888 2714575304 3102371776 5429150608 6204743552 10858301216 21716602432 43433204864