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55656675040 = 255432419449
BaseRepresentation
bin110011110101011001…
…010111011011100000
312022122210212000222211
4303311121113123200
51402441102100130
641322431411504
74010136634501
oct636531273340
9168583760884
1055656675040
11216708187aa
12a953383b94
13532c97b915
14299daccba8
1516ab2b1a2a
hexcf56576e0

55656675040 has 144 divisors (see below), whose sum is σ = 135239706000. Its totient is φ = 21644722176.

The previous prime is 55656675031. The next prime is 55656675079. The reversal of 55656675040 is 4057665655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123956736 + ... + 123957184.

It is an arithmetic number, because the mean of its divisors is an integer number (939164625).

Almost surely, 255656675040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55656675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67619853000).

55656675040 is an abundant number, since it is smaller than the sum of its proper divisors (79583030960).

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

55656675040 is a wasteful number, since it uses less digits than its factorization.

55656675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 49.

The spelling of 55656675040 in words is "fifty-five billion, six hundred fifty-six million, six hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 419 430 449 688 838 860 898 1376 1676 1720 1796 1849 2095 2245 3352 3440 3592 3698 4190 4490 6704 6880 7184 7396 8380 8980 9245 13408 14368 14792 16760 17960 18017 18490 19307 29584 33520 35920 36034 36980 38614 59168 67040 71840 72068 73960 77228 90085 96535 144136 147920 154456 180170 188131 193070 288272 295840 308912 360340 376262 386140 576544 617824 720680 752524 772280 774731 830201 940655 1441360 1505048 1544560 1549462 1660402 1881310 2882720 3010096 3089120 3098924 3320804 3762620 3873655 4151005 6020192 6197848 6641608 7525240 7747310 8089633 8302010 12395696 13283216 15050480 15494620 16179266 16604020 24791392 26566432 30100960 30989240 32358532 33208040 40448165 61978480 64717064 66416080 80896330 123956960 129434128 132832160 161792660 258868256 323585320 347854219 647170640 695708438 1294341280 1391416876 1739271095 2782833752 3478542190 5565667504 6957084380 11131335008 13914168760 27828337520 55656675040