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51106888260 = 223252313790107
BaseRepresentation
bin101111100110001101…
…010011101001000100
311212220201121220212100
4233212031103221010
51314131330411020
635251141552100
73456322245141
oct574615235104
9155821556770
1051106888260
111a74656263a
129aa3715630
134a86192aac
14268b7433c8
1514e1b3ba90
hexbe6353a44

51106888260 has 144 divisors (see below), whose sum is σ = 162946982016. Its totient is φ = 12940663296.

The previous prime is 51106888241. The next prime is 51106888271. The reversal of 51106888260 is 6288860115.

51106888260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511068882602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 522127 + ... + 612233.

It is an arithmetic number, because the mean of its divisors is an integer number (1131576264).

Almost surely, 251106888260 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 51106888260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81473491008).

51106888260 is an abundant number, since it is smaller than the sum of its proper divisors (111840093756).

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

51106888260 is a wasteful number, since it uses less digits than its factorization.

51106888260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90282 (or 90277 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 51106888260 in words is "fifty-one billion, one hundred six million, eight hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 137 138 180 207 230 274 276 345 411 414 460 548 685 690 822 828 1035 1233 1370 1380 1644 2055 2070 2466 2740 3151 4110 4140 4932 6165 6302 8220 9453 12330 12604 15755 18906 24660 28359 31510 37812 47265 56718 63020 90107 94530 113436 141795 180214 189060 270321 283590 360428 450535 540642 567180 810963 901070 1081284 1351605 1621926 1802140 2072461 2703210 3243852 4054815 4144922 5406420 6217383 8109630 8289844 10362305 12344659 12434766 16219260 18652149 20724610 24689318 24869532 31086915 37033977 37304298 41449220 49378636 61723295 62173830 74067954 74608596 93260745 111101931 123446590 124347660 148135908 185169885 186521490 222203862 246893180 283927157 370339770 373042980 444407724 555509655 567854314 740679540 851781471 1111019310 1135708628 1419635785 1703562942 2222038620 2555344413 2839271570 3407125884 4258907355 5110688826 5678543140 8517814710 10221377652 12776722065 17035629420 25553444130 51106888260