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20746424840 = 23529113163971
BaseRepresentation
bin10011010100100101…
…010101001000001000
31222112212001120122012
4103110211111020020
5314442041043330
613310351515052
71333054462421
oct232445251010
958485046565
1020746424840
1188868a8059
12402bb28a88
131c5822003b
14100b4a6648
1581655dc95
hex4d4955208

20746424840 has 128 divisors (see below), whose sum is σ = 49065782400. Its totient is φ = 7884656640.

The previous prime is 20746424807. The next prime is 20746424851. The reversal of 20746424840 is 4842464702.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21365555 + ... + 21366525.

It is an arithmetic number, because the mean of its divisors is an integer number (383326425).

Almost surely, 220746424840 is an apocalyptic number.

20746424840 is a gapful number since it is divisible by the number (20) 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 20746424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532891200).

20746424840 is an abundant number, since it is smaller than the sum of its proper divisors (28319357560).

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

20746424840 is a wasteful number, since it uses less digits than its factorization.

20746424840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 41.

The spelling of 20746424840 in words is "twenty billion, seven hundred forty-six million, four hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 163 226 232 290 326 452 565 580 652 815 904 971 1130 1160 1304 1630 1942 2260 3260 3277 3884 4520 4727 4855 6520 6554 7768 9454 9710 13108 16385 18419 18908 19420 23635 26216 28159 32770 36838 37816 38840 47270 56318 65540 73676 92095 94540 109723 112636 131080 140795 147352 158273 184190 189080 219446 225272 281590 316546 368380 438892 534151 548615 563180 633092 736760 791365 877784 1068302 1097230 1126360 1266184 1582730 2136604 2194460 2670755 3165460 3181967 4273208 4388920 4589917 5341510 6330920 6363934 9179834 10683020 12727868 15909835 17884849 18359668 21366040 22949585 25455736 31819670 35769698 36719336 45899170 63639340 71539396 89424245 91798340 127278680 143078792 178848490 183596680 357696980 518660621 715393960 1037321242 2074642484 2593303105 4149284968 5186606210 10373212420 20746424840