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55205241012 = 22334797112121
BaseRepresentation
bin110011011010011111…
…010010000010110100
312021111100101210221000
4303122133102002310
51401030020203022
641205543523300
73663015543345
oct633237220264
9167440353830
1055205241012
1121459a12729
12a848159530
13528a29c2ac
142959b7a0cc
15168183d6ac
hexcda7d20b4

55205241012 has 96 divisors (see below), whose sum is σ = 147678128640. Its totient is φ = 17824389120.

The previous prime is 55205240957. The next prime is 55205241041. The reversal of 55205241012 is 21014250255.

55205241012 is a `hidden beast` number, since 552 + 0 + 5 + 2 + 4 + 101 + 2 = 666.

55205241012 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-3 number, since 3×552052410123 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 436312 + ... + 548432.

It is an arithmetic number, because the mean of its divisors is an integer number (1538313840).

Almost surely, 255205241012 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 55205241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73839064320).

55205241012 is an abundant number, since it is smaller than the sum of its proper divisors (92472887628).

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

55205241012 is a wasteful number, since it uses less digits than its factorization.

55205241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112278 (or 112270 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 55205241012 its reverse (21014250255), we get a palindrome (76219491267).

The spelling of 55205241012 in words is "fifty-five billion, two hundred five million, two hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 97 108 141 188 194 282 291 388 423 564 582 846 873 1164 1269 1692 1746 2538 2619 3492 4559 5076 5238 9118 10476 13677 18236 27354 41031 54708 82062 112121 123093 164124 224242 246186 336363 448484 492372 672726 1009089 1345452 2018178 3027267 4036356 5269687 6054534 10539374 10875737 12109068 15809061 21078748 21751474 31618122 32627211 43502948 47427183 63236244 65254422 94854366 97881633 130508844 142281549 189708732 195763266 284563098 293644899 391526532 511159639 569126196 587289798 1022319278 1174579596 1533478917 2044638556 3066957834 4600436751 6133915668 9200873502 13801310253 18401747004 27602620506 55205241012