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54455012500 = 225572332671
BaseRepresentation
bin110010101101110001…
…011000110010010100
312012120001201020212211
4302231301120302110
51343010440400000
641003303523204
73635305653250
oct625561306224
9165501636784
1054455012500
1121104486969
12a678a59504
13519aa247b5
1428c8289260
15163aa487ba
hexcadc58c94

54455012500 has 144 divisors (see below), whose sum is σ = 136764246528. Its totient is φ = 18583200000.

The previous prime is 54455012471. The next prime is 54455012509. The reversal of 54455012500 is 521055445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54455012509) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20386165 + ... + 20388835.

It is an arithmetic number, because the mean of its divisors is an integer number (949751712).

Almost surely, 254455012500 is an apocalyptic number.

54455012500 is a gapful number since it is divisible by the number (50) 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 54455012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68382123264).

54455012500 is an abundant number, since it is smaller than the sum of its proper divisors (82309234028).

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

54455012500 is a wasteful number, since it uses less digits than its factorization.

54455012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

Adding to 54455012500 its reverse (521055445), we get a palindrome (54976067945).

The spelling of 54455012500 in words is "fifty-four billion, four hundred fifty-five million, twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 233 250 350 466 500 625 700 875 932 1165 1250 1631 1750 2330 2500 2671 3125 3262 3500 4375 4660 5342 5825 6250 6524 8155 8750 10684 11650 12500 13355 16310 17500 18697 21875 23300 26710 29125 32620 37394 40775 43750 53420 58250 66775 74788 81550 87500 93485 116500 133550 145625 163100 186970 203875 267100 291250 333875 373940 407750 467425 582500 622343 667750 728125 815500 934850 1019375 1244686 1335500 1456250 1669375 1869700 2038750 2337125 2489372 2912500 3111715 3338750 4077500 4356401 4674250 5096875 6223430 6677500 8346875 8712802 9348500 10193750 11685625 12446860 15558575 16693750 17425604 20387500 21782005 23371250 31117150 33387500 43564010 46742500 58428125 62234300 77792875 87128020 108910025 116856250 155585750 217820050 233712500 311171500 388964375 435640100 544550125 777928750 1089100250 1555857500 1944821875 2178200500 2722750625 3889643750 5445501250 7779287500 10891002500 13613753125 27227506250 54455012500