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20552508459040 = 255311372220771
BaseRepresentation
bin1001010110001010000001…
…11101110100100000100000
32200202210121122121022102111
410223011000331310200200
510143213014131142130
6111413405251525104
74220604214313545
oct453050075644040
980683548538374
1020552508459040
1166042a7249a28
12237b2695b9794
13b61129aa2ccc
14510a64dc4bcc
152599406ab02a
hex12b140f74820

20552508459040 has 144 divisors (see below), whose sum is σ = 50490351523584. Its totient is φ = 7897702348800.

The previous prime is 20552508459023. The next prime is 20552508459097. The reversal of 20552508459040 is 4095480525502.

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, 92983855 + ... + 93204625.

It is an arithmetic number, because the mean of its divisors is an integer number (350627441136).

Almost surely, 220552508459040 is an apocalyptic number.

20552508459040 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 20552508459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25245175761792).

20552508459040 is an abundant number, since it is smaller than the sum of its proper divisors (29937843064544).

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

20552508459040 is a wasteful number, since it uses less digits than its factorization.

20552508459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221091 (or 220946 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 49.

The spelling of 20552508459040 in words is "twenty trillion, five hundred fifty-two billion, five hundred eight million, four hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 137 155 160 248 274 310 496 548 620 685 992 1096 1240 1370 2192 2480 2740 4247 4384 4960 5480 8494 10960 16988 18769 21235 21920 33976 37538 42470 67952 75076 84940 93845 135904 150152 169880 187690 220771 300304 339760 375380 441542 581839 600608 679520 750760 883084 1103855 1163678 1501520 1766168 2207710 2327356 2909195 3003040 3532336 4415420 4654712 5818390 6843901 7064672 8830840 9309424 11636780 13687802 17661680 18618848 23273560 27375604 30245627 34219505 35323360 46547120 54751208 60491254 68439010 93094240 109502416 120982508 136878020 151228135 219004832 241965016 273756040 302456270 483930032 547512080 604912540 937614437 967860064 1095024160 1209825080 1875228874 2419650160 3750457748 4143650899 4688072185 4839300320 7500915496 8287301798 9376144370 15001830992 16574603596 18752288740 20718254495 30003661984 33149207192 37504577480 41436508990 66298414384 75009154960 82873017980 128453177869 132596828768 150018309920 165746035960 256906355738 331492071920 513812711476 642265889345 662984143840 1027625422952 1284531778690 2055250845904 2569063557380 4110501691808 5138127114760 10276254229520 20552508459040