Search a number
-
+
2264636020449 = 311241219718839
BaseRepresentation
bin100000111101000110110…
…100110101011011100001
322000111102101012120200210
4200331012310311123201
5244100433310123244
64452205345204333
7322420535364255
oct40750664653341
98014371176623
102264636020449
117a3476aa3900
12306a9a0306a9
1313572893009a
147b87501a265
153dd95bb04b9
hex20f46d356e1

2264636020449 has 72 divisors (see below), whose sum is σ = 3419345603520. Its totient is φ = 1332163078400.

The previous prime is 2264636020403. The next prime is 2264636020457. The reversal of 2264636020449 is 9440206364622.

2264636020449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2264636020449 - 213 = 2264636012257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2264636020398 and 2264636020407.

It is not an unprimeable number, because it can be changed into a prime (2264636020459) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120200572 + ... + 120219410.

It is an arithmetic number, because the mean of its divisors is an integer number (47490911160).

Almost surely, 22264636020449 is an apocalyptic number.

It is an amenable number.

2264636020449 is a deficient number, since it is larger than the sum of its proper divisors (1154709583071).

2264636020449 is a wasteful number, since it uses less digits than its factorization.

2264636020449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19143 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 2264636020449 in words is "two trillion, two hundred sixty-four billion, six hundred thirty-six million, twenty thousand, four hundred forty-nine".

Divisors: 1 3 11 33 41 121 123 197 363 451 591 1353 1681 2167 4961 5043 6501 8077 14883 18491 18839 23837 24231 55473 56517 71511 88847 203401 207229 266541 331157 610203 621687 772399 977317 993471 2279519 2317197 2931951 3642727 3711283 6838557 8496389 10928181 11133849 25489167 31668359 40069997 40824113 93460279 95005077 120209991 122472339 152162603 280380837 348351949 449065243 456487809 1045055847 1347195729 1673788633 3831871439 5021365899 6238666723 11495614317 18411674963 18716000169 55235024889 68625333953 205876001859 754878673483 2264636020449