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55065131605036 = 22747120144237877
BaseRepresentation
bin11001000010100110110011…
…00110111101110000101100
321012222011201200212202001001
430201103121212331300230
524204141342142330121
6313040323334130044
714412216202612510
oct1441233146756054
9235864650782031
1055065131605036
11165aaa9a278503
126213ba91b0924
1324958094311b7
14d852491a2140
15657585384991
hex3214d99bdc2c

55065131605036 has 96 divisors (see below), whose sum is σ = 112606854377472. Its totient is φ = 23069849932800.

The previous prime is 55065131605031. The next prime is 55065131605051. The reversal of 55065131605036 is 63050613156055.

55065131605036 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 2×550651316050362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55065131605031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6990618330 + ... + 6990626206.

It is an arithmetic number, because the mean of its divisors is an integer number (1172988066432).

Almost surely, 255065131605036 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 55065131605036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56303427188736).

55065131605036 is an abundant number, since it is smaller than the sum of its proper divisors (57541722772436).

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

55065131605036 is a wasteful number, since it uses less digits than its factorization.

55065131605036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 46.

The spelling of 55065131605036 in words is "fifty-five trillion, sixty-five billion, one hundred thirty-one million, six hundred five thousand, thirty-six".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1201 1316 2402 4423 4804 7877 8407 8846 15754 16814 17692 30961 31508 33628 55139 56447 61922 110278 112894 123844 207881 220556 225788 370219 395129 415762 740438 790258 831524 1455167 1480876 1580516 2591533 2910334 5183066 5312023 5820668 9460277 10366132 10624046 18920554 21248092 34839971 37184161 37841108 66221939 69679942 74368322 132443878 139359884 148736644 243879797 249665081 264887756 444633019 487759594 499330162 889266038 975519188 998660324 1637478637 1747655567 1778532076 3112431133 3274957274 3495311134 6224862266 6549914548 6990622268 11462350459 12449724532 22924700918 41842805171 45849401836 83685610342 167371220684 292899636197 585799272394 1171598544788 1966611843037 3933223686074 7866447372148 13766282901259 27532565802518 55065131605036