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255245211540 = 2232511809159347
BaseRepresentation
bin1110110110110111001…
…1001101011110010100
3220101211110220012200100
43231231303031132110
513140220233232130
6313131422414100
724304133333454
oct3555563153624
9811743805610
10255245211540
11992812a4320
1241575131330
131b0b9974767
14c4d52a3d64
15698d55ac60
hex3b6dccd794

255245211540 has 144 divisors (see below), whose sum is σ = 845678957760. Its totient is φ = 61800752640.

The previous prime is 255245211523. The next prime is 255245211581. The reversal of 255245211540 is 45112542552.

255245211540 is a `hidden beast` number, since 2 + 5 + 52 + 4 + 52 + 11 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255245211495 and 255245211504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1522147 + ... + 1681493.

It is an arithmetic number, because the mean of its divisors is an integer number (5872770540).

Almost surely, 2255245211540 is an apocalyptic number.

255245211540 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 255245211540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422839478880).

255245211540 is an abundant number, since it is smaller than the sum of its proper divisors (590433746220).

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

255245211540 is a wasteful number, since it uses less digits than its factorization.

255245211540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160182 (or 160177 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 255245211540 in words is "two hundred fifty-five billion, two hundred forty-five million, two hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 809 990 1618 1980 2427 3236 4045 4854 7281 8090 8899 9708 12135 14562 16180 17798 24270 26697 29124 35596 36405 44495 48540 53394 72810 80091 88990 106788 133485 145620 159347 160182 177980 266970 318694 320364 400455 478041 533940 637388 796735 800910 956082 1434123 1593470 1601820 1752817 1912164 2390205 2868246 3186940 3505634 4780410 5258451 5736492 7011268 7170615 8764085 9560820 10516902 14341230 15775353 17528170 21033804 26292255 28682460 31550706 35056340 52584510 63101412 78876765 105169020 128911723 157753530 257823446 315507060 386735169 515646892 644558615 773470338 1160205507 1289117230 1418028953 1546940676 1933675845 2320411014 2578234460 2836057906 3867351690 4254086859 4640822028 5672115812 5801027535 7090144765 7734703380 8508173718 11602055070 12762260577 14180289530 17016347436 21270434295 23204110140 25524521154 28360579060 42540868590 51049042308 63811302885 85081737180 127622605770 255245211540