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20563387520 = 275137333857
BaseRepresentation
bin10011001001101011…
…000110010010000000
31222002002122022122012
4103021223012102000
5314103211400040
613240252432052
71325402624054
oct231153062200
958062568565
1020563387520
1187a2550445
123b9a778628
131c29324830
14dd105bc64
15805455865
hex4c9ac6480

20563387520 has 128 divisors (see below), whose sum is σ = 53667638640. Its totient is φ = 7488405504.

The previous prime is 20563387441. The next prime is 20563387577. The reversal of 20563387520 is 2578336502.

It can be written as a sum of positive squares in 8 ways, for example, as 13417052224 + 7146335296 = 115832^2 + 84536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 590432 + ... + 624288.

Almost surely, 220563387520 is an apocalyptic number.

20563387520 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 20563387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26833819320).

20563387520 is an abundant number, since it is smaller than the sum of its proper divisors (33104251120).

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

20563387520 is a wasteful number, since it uses less digits than its factorization.

20563387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33962 (or 33950 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 20563387520 in words is "twenty billion, five hundred sixty-three million, three hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 104 128 130 146 160 208 260 292 320 365 416 520 584 640 730 832 949 1040 1168 1460 1664 1898 2080 2336 2920 3796 4160 4672 4745 5840 7592 8320 9344 9490 11680 15184 18980 23360 30368 33857 37960 46720 60736 67714 75920 121472 135428 151840 169285 270856 303680 338570 440141 541712 607360 677140 880282 1083424 1354280 1760564 2166848 2200705 2471561 2708560 3521128 4333696 4401410 4943122 5417120 7042256 8802820 9886244 10834240 12357805 14084512 17605640 19772488 21668480 24715610 28169024 32130293 35211280 39544976 49431220 56338048 64260586 70422560 79089952 98862440 128521172 140845120 158179904 160651465 197724880 257042344 281690240 316359808 321302930 395449760 514084688 642605860 790899520 1028169376 1285211720 1581799040 2056338752 2570423440 4112677504 5140846880 10281693760 20563387520