Search a number
-
+
55505605100 = 225211139363019
BaseRepresentation
bin110011101100011001…
…000101000111101100
312022021021120212222212
4303230121011013230
51402133413330400
641255433425552
74003323600401
oct635431050754
9168237525885
1055505605100
11215a3515710
12a91086b2b8
135307596a1a
142987a062a8
15169cdc0335
hexcec6451ec

55505605100 has 72 divisors (see below), whose sum is σ = 132342571200. Its totient is φ = 20038593600.

The previous prime is 55505605097. The next prime is 55505605123. The reversal of 55505605100 is 150650555.

55505605100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28610 + ... + 334409.

Almost surely, 255505605100 is an apocalyptic number.

55505605100 is a gapful number since it is divisible by the number (50) 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 55505605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66171285600).

55505605100 is an abundant number, since it is smaller than the sum of its proper divisors (76836966100).

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

55505605100 is a wasteful number, since it uses less digits than its factorization.

55505605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363183 (or 363176 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 55505605100 in words is "fifty-five billion, five hundred five million, six hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6950 7645 13900 15290 30580 38225 76450 152900 363019 726038 1452076 1815095 3630190 3993209 7260380 7986418 9075475 15972836 18150950 19966045 36301900 39932090 50459641 79864180 99830225 100919282 199660450 201838564 252298205 399320900 504596410 555056051 1009192820 1110112102 1261491025 2220224204 2522982050 2775280255 5045964100 5550560510 11101121020 13876401275 27752802550 55505605100