Search a number
-
+
2268269047116 = 2233103651202627
BaseRepresentation
bin100001000000011111010…
…111101110110101001100
322000211210120101110101000
4201000133113232311030
5244130403334001431
64454010045420300
7322606551531612
oct41003727566514
98024716343330
102268269047116
117a4a7081a586
1230773286a690
13135b875049c7
147badb7256b2
153e009ae79e6
hex2101f5eed4c

2268269047116 has 48 divisors (see below), whose sum is σ = 5880783287680. Its totient is φ = 756078656400.

The previous prime is 2268269047103. The next prime is 2268269047127. The reversal of 2268269047116 is 6117409628622.

2268269047116 is a `hidden beast` number, since 2 + 2 + 6 + 82 + 6 + 90 + 471 + 1 + 6 = 666.

2268269047116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11092995 + ... + 11295621.

Almost surely, 22268269047116 is an apocalyptic number.

It is an amenable number.

2268269047116 is an abundant number, since it is smaller than the sum of its proper divisors (3612514240564).

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

2268269047116 is a wasteful number, since it uses less digits than its factorization.

2268269047116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306291 (or 306283 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2268269047116 in words is "two trillion, two hundred sixty-eight billion, two hundred sixty-nine million, forty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 103651 202627 207302 310953 405254 414604 607881 621906 810508 932859 1215762 1243812 1823643 1865718 2431524 2798577 3647286 3731436 5470929 5597154 7294572 10941858 11194308 21883716 21002491177 42004982354 63007473531 84009964708 126014947062 189022420593 252029894124 378044841186 567067261779 756089682372 1134134523558 2268269047116