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20426782320 = 2432574052933
BaseRepresentation
bin10011000001100001…
…111111011001110000
31221201120121001112100
4103001201333121300
5313313224013240
613214532500400
71322123533140
oct230141773160
957646531470
1020426782320
11873242798a
123b60a7a700
131c06c35759
14dbac5c920
157e846ee30
hex4c187f670

20426782320 has 120 divisors (see below), whose sum is σ = 78399955296. Its totient is φ = 4668977664.

The previous prime is 20426782319. The next prime is 20426782339. The reversal of 20426782320 is 2328762402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2021427 + ... + 2031506.

Almost surely, 220426782320 is an apocalyptic number.

20426782320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20426782320 is an abundant number, since it is smaller than the sum of its proper divisors (57973172976).

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

20426782320 is a wasteful number, since it uses less digits than its factorization.

20426782320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052959 (or 4052950 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20426782320 in words is "twenty billion, four hundred twenty-six million, seven hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4052933 8105866 12158799 16211732 20264665 24317598 28370531 32423464 36476397 40529330 48635196 56741062 60793995 64846928 72952794 81058660 85111593 97270392 113482124 121587990 141852655 145905588 162117320 170223186 182381985 194540784 226964248 243175980 255334779 283705310 291811176 324234640 340446372 364763970 425557965 453928496 486351960 510669558 567410620 583622352 680892744 729527940 851115930 972703920 1021339116 1134821240 1276673895 1361785488 1459055880 1702231860 2042678232 2269642480 2553347790 2918111760 3404463720 4085356464 5106695580 6808927440 10213391160 20426782320