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255703805050 = 252372732701
BaseRepresentation
bin1110111000100100100…
…0100110110001111010
3220110000102211011201011
43232021020212301322
513142140133230200
6313245123544134
724321402324001
oct3561110466172
9813012734634
10255703805050
119949714a421
124168282b04a
131b16098ca75
14c53a15bc38
1569b89455ba
hex3b89226c7a

255703805050 has 108 divisors (see below), whose sum is σ = 496305543006. Its totient is φ = 98013888000.

The previous prime is 255703805039. The next prime is 255703805051. The reversal of 255703805050 is 50508307552.

It is a happy number.

255703805050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 27 ways, for example, as 9222337089 + 246481467961 = 96033^2 + 496469^2 .

It is a junction number, because it is equal to n+sod(n) for n = 255703804994 and 255703805012.

It is not an unprimeable number, because it can be changed into a prime (255703805051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 364769700 + ... + 364770400.

Almost surely, 2255703805050 is an apocalyptic number.

255703805050 is a deficient number, since it is larger than the sum of its proper divisors (240601737956).

255703805050 is an equidigital number, since it uses as much as digits as its factorization.

255703805050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 255703805050 in words is "two hundred fifty-five billion, seven hundred three million, eight hundred five thousand, fifty".

Divisors: 1 2 5 10 25 37 50 73 74 146 185 365 370 701 730 925 1369 1402 1825 1850 2701 2738 3505 3650 5329 5402 6845 7010 10658 13505 13690 17525 25937 26645 27010 34225 35050 51173 51874 53290 67525 68450 99937 102346 129685 133225 135050 197173 199874 255865 259370 266450 394346 499685 511730 648425 959669 985865 999370 1279325 1296850 1893401 1919338 1971730 2498425 2558650 3735629 3786802 4798345 4929325 4996850 7295401 7471258 9467005 9596690 9858650 14590802 18678145 18934010 23991725 36477005 37356290 47335025 47983450 70055837 72954010 93390725 94670050 138218273 140111674 182385025 186781450 276436546 350279185 364770050 691091365 700558370 1382182730 1751395925 3455456825 3502791850 5114076101 6910913650 10228152202 25570380505 51140761010 127851902525 255703805050