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255013656560 = 245134746111317
BaseRepresentation
bin1110110101111111111…
…1111001011111110000
3220101020100011222221222
43231133333321133300
513134231444002220
6313052431404212
724265322213165
oct3553777713760
9811210158858
10255013656560
1199172619673
124150b683668
131b0809bc790
14c4b262a06c
15697806be25
hex3b5fff97f0

255013656560 has 160 divisors (see below), whose sum is σ = 653572668672. Its totient is φ = 91947479040.

The previous prime is 255013656523. The next prime is 255013656587. The reversal of 255013656560 is 65656310552.

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, 22528022 + ... + 22539338.

Almost surely, 2255013656560 is an apocalyptic number.

255013656560 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 255013656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326786334336).

255013656560 is an abundant number, since it is smaller than the sum of its proper divisors (398559012112).

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

255013656560 is a wasteful number, since it uses less digits than its factorization.

255013656560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 255013656560 in words is "two hundred fifty-five billion, thirteen million, six hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 461 470 520 611 752 922 940 1040 1222 1844 1880 2305 2444 3055 3688 3760 4610 4888 5993 6110 7376 9220 9776 11317 11986 12220 18440 21667 22634 23972 24440 29965 36880 43334 45268 47944 48880 56585 59930 86668 90536 95888 108335 113170 119860 147121 173336 181072 216670 226340 239720 281671 294242 346672 433340 452680 479440 531899 563342 588484 735605 866680 905360 1063798 1126684 1176968 1408355 1471210 1733360 2127596 2253368 2353936 2659495 2816710 2942420 4255192 4506736 5217137 5318990 5633420 5884840 6914687 8510384 10434274 10637980 11266840 11769680 13829374 20868548 21275960 22533680 26085685 27658748 34573435 41737096 42551920 52171370 55317496 67822781 69146870 83474192 104342740 110634992 135645562 138293740 208685480 245205439 271291124 276587480 339113905 417370960 490410878 542582248 553174960 678227810 980821756 1085164496 1226027195 1356455620 1961643512 2452054390 2712911240 3187670707 3923287024 4904108780 5425822480 6375341414 9808217560 12750682828 15938353535 19616435120 25501365656 31876707070 51002731312 63753414140 127506828280 255013656560