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255924865920 = 27351289103409
BaseRepresentation
bin1110111001011001001…
…1111000101110000000
3220110120211210020012210
43232112103320232000
513143113231202140
6313323102022120
724330025316223
oct3562623705600
9813524706183
10255924865920
119959aa07759
1241724877940
131b19770c309
14c55b6635ba
1569cd05ed80
hex3b964f8b80

255924865920 has 128 divisors (see below), whose sum is σ = 816401268000. Its totient is φ = 68193026048.

The previous prime is 255924865901. The next prime is 255924865927. The reversal of 255924865920 is 29568429552.

It is a happy number.

255924865920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255924865927) 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 15 ways as a sum of consecutive naturals, for example, 2423176 + ... + 2526584.

Almost surely, 2255924865920 is an apocalyptic number.

255924865920 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 255924865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408200634000).

255924865920 is an abundant number, since it is smaller than the sum of its proper divisors (560476402080).

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

255924865920 is a wasteful number, since it uses less digits than its factorization.

255924865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104720 (or 104708 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 255924865920 in words is "two hundred fifty-five billion, nine hundred twenty-four million, eight hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1289 1920 2578 3867 5156 6445 7734 10312 12890 15468 19335 20624 25780 30936 38670 41248 51560 61872 77340 82496 103120 103409 123744 154680 164992 206240 206818 247488 309360 310227 412480 413636 494976 517045 618720 620454 824960 827272 1034090 1237440 1240908 1551135 1654544 2068180 2474880 2481816 3102270 3309088 4136360 4963632 6204540 6618176 8272720 9927264 12409080 13236352 16545440 19854528 24818160 33090880 39709056 49636320 66181760 99272640 133294201 198545280 266588402 399882603 533176804 666471005 799765206 1066353608 1332942010 1599530412 1999413015 2132707216 2665884020 3199060824 3998826030 4265414432 5331768040 6398121648 7997652060 8530828864 10663536080 12796243296 15995304120 17061657728 21327072160 25592486592 31990608240 42654144320 51184973184 63981216480 85308288640 127962432960 255924865920