Search a number
-
+
43926609888 = 2532743350321
BaseRepresentation
bin101000111010001110…
…101101111111100000
311012101022122222122100
4220322032231333200
51204430203004023
632102443410400
73113354011020
oct507216557740
9135338588570
1043926609888
11176a1476187
12861ab23a00
1341b0719375
1421a9c99a80
1512215b1c43
hexa3a3adfe0

43926609888 has 144 divisors (see below), whose sum is σ = 143094028896. Its totient is φ = 12521226240.

The previous prime is 43926609871. The next prime is 43926609911. The reversal of 43926609888 is 88890662934.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847768 + ... + 898088.

It is an arithmetic number, because the mean of its divisors is an integer number (993708534).

Almost surely, 243926609888 is an apocalyptic number.

43926609888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43926609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547014448).

43926609888 is an abundant number, since it is smaller than the sum of its proper divisors (99167419008).

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

43926609888 is a wasteful number, since it uses less digits than its factorization.

43926609888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50777 (or 50766 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 43926609888 in words is "forty-three billion, nine hundred twenty-six million, six hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 433 504 672 866 1008 1299 1732 2016 2598 3031 3464 3897 5196 6062 6928 7794 9093 10392 12124 13856 15588 18186 20784 24248 27279 31176 36372 41568 48496 50321 54558 62352 72744 96992 100642 109116 124704 145488 150963 201284 218232 290976 301926 352247 402568 436464 452889 603852 704494 805136 872928 905778 1056741 1207704 1408988 1610272 1811556 2113482 2415408 2817976 3170223 3623112 4226964 4830816 5635952 6340446 7246224 8453928 11271904 12680892 14492448 16907856 21788993 25361784 33815712 43577986 50723568 65366979 87155972 101447136 130733958 152522951 174311944 196100937 261467916 305045902 348623888 392201874 457568853 522935832 610091804 697247776 784403748 915137706 1045871664 1220183608 1372706559 1568807496 1830275412 2091743328 2440367216 2745413118 3137614992 3660550824 4880734432 5490826236 6275229984 7321101648 10981652472 14642203296 21963304944 43926609888