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9039222640896 = 28372237751633
BaseRepresentation
bin1000001110001001101110…
…1001111001000100000000
31012000010210222010102121220
42003202123221321010000
52141044311444002041
631120321143515040
71622030235501060
oct203423351710400
935003728112556
109039222640896
11297557058a828
12101ba41458a80
13507519b88846
14233701d3d3a0
1510a1e6d0ed66
hex8389ba79100

9039222640896 has 144 divisors (see below), whose sum is σ = 27506629497984. Its totient is φ = 2581477097472.

The previous prime is 9039222640873. The next prime is 9039222640907. The reversal of 9039222640896 is 6980462229309.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11650296 + ... + 12401928.

Almost surely, 29039222640896 is an apocalyptic number.

9039222640896 is a gapful number since it is divisible by the number (96) 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 9039222640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753314748992).

9039222640896 is an abundant number, since it is smaller than the sum of its proper divisors (18467406857088).

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

9039222640896 is a wasteful number, since it uses less digits than its factorization.

9039222640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753896 (or 753882 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 9039222640896 in words is "nine trillion, thirty-nine billion, two hundred twenty-two million, six hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2237 2688 4474 5376 6711 8948 13422 15659 17896 26844 31318 35792 46977 53688 62636 71584 93954 107376 125272 143168 187908 214752 250544 286336 375816 429504 501088 572672 751632 751633 859008 1002176 1503264 1503266 1718016 2004352 2254899 3006528 3006532 4008704 4509798 5261431 6013056 6013064 9019596 10522862 12026112 12026128 15784293 18039192 21045724 24052256 31568586 36078384 42091448 48104512 63137172 72156768 84182896 96209024 126274344 144313536 168365792 192418048 252548688 288627072 336731584 505097376 577254144 673463168 1010194752 1346926336 1681403021 2020389504 3362806042 4040779008 5044209063 6725612084 10088418126 11769821147 13451224168 20176836252 23539642294 26902448336 35309463441 40353672504 47079284588 53804896672 70618926882 80707345008 94158569176 107609793344 141237853764 161414690016 188317138352 215219586688 282475707528 322829380032 376634276704 430439173376 564951415056 645658760064 753268553408 1129902830112 1291317520128 1506537106816 2259805660224 3013074213632 4519611320448 9039222640896