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268560535740 = 223572277329773
BaseRepresentation
bin1111101000011101110…
…1001001000010111100
3221200012110000202121220
43322013131021002330
513400002444120430
6323213000153340
725255115613600
oct3720735110274
9850173022556
10268560535740
11a399446a492
1244070468850
131c42c47b313
14cdd9871500
156ebc4e7110
hex3e877490bc

268560535740 has 144 divisors (see below), whose sum is σ = 877900599072. Its totient is φ = 61163472384.

The previous prime is 268560535693. The next prime is 268560535823. The reversal of 268560535740 is 47535065862.

It is a super-2 number, since 2×2685605357402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649494 + ... + 979266.

It is an arithmetic number, because the mean of its divisors is an integer number (6096531938).

Almost surely, 2268560535740 is an apocalyptic number.

268560535740 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 268560535740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438950299536).

268560535740 is an abundant number, since it is smaller than the sum of its proper divisors (609340063332).

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

268560535740 is a wasteful number, since it uses less digits than its factorization.

268560535740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330076 (or 330067 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 268560535740 in words is "two hundred sixty-eight billion, five hundred sixty million, five hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 277 294 420 490 554 588 735 831 980 1108 1385 1470 1662 1939 2770 2940 3324 3878 4155 5540 5817 7756 8310 9695 11634 13573 16620 19390 23268 27146 29085 38780 40719 54292 58170 67865 81438 116340 135730 162876 203595 271460 329773 407190 659546 814380 989319 1319092 1648865 1978638 2308411 3297730 3957276 4616822 4946595 6595460 6925233 9233644 9893190 11542055 13850466 16158877 19786380 23084110 27700932 32317754 34626165 46168220 48476631 64635508 69252330 80794385 91347121 96953262 138504660 161588770 182694242 193906524 242383155 274041363 323177540 365388484 456735605 484766310 548082726 639429847 913471210 969532620 1096165452 1278859694 1370206815 1826942420 1918289541 2557719388 2740413630 3197149235 3836579082 4476008929 5480827260 6394298470 7673158164 8952017858 9591447705 12788596940 13428026787 17904035716 19182895410 22380044645 26856053574 38365790820 44760089290 53712107148 67140133935 89520178580 134280267870 268560535740