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43420621264 = 24171923933511
BaseRepresentation
bin101000011100000100…
…100001100111010000
311011002001120002201221
4220130010201213100
51202411134340024
631540330334424
73065001122356
oct503404414720
9134061502657
1043420621264
1117461899469
1284b958a414
13412c948507
14215c9c57d6
1511e1e643e4
hexa1c1219d0

43420621264 has 80 divisors (see below), whose sum is σ = 93830244480. Its totient is φ = 19344199680.

The previous prime is 43420621259. The next prime is 43420621267. The reversal of 43420621264 is 46212602434.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43420621267) 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 15 ways as a sum of consecutive naturals, for example, 12365269 + ... + 12368779.

It is an arithmetic number, because the mean of its divisors is an integer number (1172878056).

Almost surely, 243420621264 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 43420621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46915122240).

43420621264 is an abundant number, since it is smaller than the sum of its proper divisors (50409623216).

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

43420621264 is a wasteful number, since it uses less digits than its factorization.

43420621264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 43420621264 in words is "forty-three billion, four hundred twenty million, six hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2393 2584 3511 4786 5168 7022 9572 14044 19144 28088 38288 40681 45467 56176 59687 66709 81362 90934 119374 133418 162724 181868 238748 266836 325448 363736 477496 533672 650896 727472 772939 954992 1067344 1134053 1545878 2268106 3091756 4536212 6183512 8401823 9072424 12367024 16803646 18144848 33607292 67214584 134429168 142830991 159634637 285661982 319269274 571323964 638538548 1142647928 1277077096 2285295856 2554154192 2713788829 5427577658 10855155316 21710310632 43420621264