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255216536625144 = 23337437321912971
BaseRepresentation
bin111010000001111000111011…
…000000011001111111111000
31020110122110111020202201201210
4322001320323000121333320
5231422431431334001034
62302444505222443120
7104520533460533163
oct7201707300317770
91213573436681653
10255216536625144
11743577a8497346
122475a8118934a0
13ac53a7c087c73
144704790dd4ada
151e78b7b53a8e9
hexe81e3b019ff8

255216536625144 has 128 divisors (see below), whose sum is σ = 670617228314880. Its totient is φ = 80836847078400.

The previous prime is 255216536625133. The next prime is 255216536625203. The reversal of 255216536625144 is 441526635612552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279088579 + ... + 280001549.

It is an arithmetic number, because the mean of its divisors is an integer number (5239197096210).

Almost surely, 2255216536625144 is an apocalyptic number.

255216536625144 is a gapful number since it is divisible by the number (24) 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 255216536625144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335308614157440).

255216536625144 is an abundant number, since it is smaller than the sum of its proper divisors (415400691689736).

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

255216536625144 is a wasteful number, since it uses less digits than its factorization.

255216536625144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920381 (or 920377 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 57.

The spelling of 255216536625144 in words is "two hundred fifty-five trillion, two hundred sixteen billion, five hundred thirty-six million, six hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 344 444 516 888 1032 1591 3182 4773 6364 7321 9546 12728 14642 19092 21963 29284 38184 43926 58568 87852 175704 270877 314803 541754 629606 812631 912971 944409 1083508 1259212 1625262 1825942 1888818 2167016 2518424 2738913 3250524 3651884 3777636 5477826 6501048 7303768 7555272 10955652 11647711 21911304 23295422 33779927 34943133 39257753 46590844 67559854 69886266 78515506 93181688 101339781 117773259 135119708 139772532 157031012 202679562 235546518 270239416 279545064 314062024 405359124 471093036 810718248 942186072 1452536861 2905073722 4357610583 5810147444 6683860691 8715221166 11620294888 13367721382 17430442332 20051582073 26735442764 34860884664 40103164146 53470885528 80206328292 160412656584 247302845567 287406009713 494605691134 574812019426 741908536701 862218029139 989211382268 1149624038852 1483817073402 1724436058278 1978422764536 2299248077704 2967634146804 3448872116556 5935268293608 6897744233112 10634022359381 21268044718762 31902067078143 42536089437524 63804134156286 85072178875048 127608268312572 255216536625144