Search a number
-
+
2245344116253 = 373127136734679
BaseRepresentation
bin100000101011001000111…
…100000011111000011101
321221122121220002022021120
4200223020330003320131
5243241431043210003
64435255152521153
7321135502040520
oct40531074037035
97848556068246
102245344116253
11796277243727
123031b52501b9
13133972b6a764
147a964bb8bb7
153d6171b5853
hex20ac8f03e1d

2245344116253 has 64 divisors (see below), whose sum is σ = 3554641182720. Its totient is φ = 1233676785600.

The previous prime is 2245344116219. The next prime is 2245344116263. The reversal of 2245344116253 is 3526114435422.

It is not a de Polignac number, because 2245344116253 - 29 = 2245344115741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245344116263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64729168 + ... + 64763846.

It is an arithmetic number, because the mean of its divisors is an integer number (55541268480).

Almost surely, 22245344116253 is an apocalyptic number.

It is an amenable number.

2245344116253 is a deficient number, since it is larger than the sum of its proper divisors (1309297066467).

2245344116253 is a wasteful number, since it uses less digits than its factorization.

2245344116253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35358.

The product of its digits is 691200, while the sum is 42.

The spelling of 2245344116253 in words is "two trillion, two hundred forty-five billion, three hundred forty-four million, one hundred sixteen thousand, two hundred fifty-three".

Divisors: 1 3 7 21 31 93 217 271 367 651 813 1101 1897 2569 5691 7707 8401 11377 25203 34131 34679 58807 79639 99457 104037 176421 238917 242753 298371 696199 728259 1075049 2088597 3083167 3225147 7525343 9249501 9398009 12727193 21582169 22576029 28194027 38181579 64746507 65786063 89090351 197358189 267271053 291338279 394542983 874014837 1183628949 2039367953 2761800881 3449069303 6118103859 8285402643 10347207909 24143485121 72430455363 106921148393 320763445179 748448038751 2245344116253