Search a number
-
+
11627410327373 = 2313724407151189
BaseRepresentation
bin1010100100110011011110…
…1010011000011101001101
31112011120101012212122011202
42221030313222120131031
53011000414020433443
640421320352155245
72310024032031251
oct251146752303515
945146335778152
1011627410327373
113783180005125
121379578238b25
136645c9a7b289
142c2aabd50261
151526c7b107b8
hexa9337a9874d

11627410327373 has 16 divisors (see below), whose sum is σ = 12222093162240. Its totient is φ = 11040163829376.

The previous prime is 11627410327363. The next prime is 11627410327397. The reversal of 11627410327373 is 37372301472611.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11627410327373 is a prime.

It is a super-2 number, since 2×116274103273732 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627410327363) 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 15 ways as a sum of consecutive naturals, for example, 76830863 + ... + 76982051.

It is an arithmetic number, because the mean of its divisors is an integer number (763880822640).

Almost surely, 211627410327373 is an apocalyptic number.

It is an amenable number.

11627410327373 is a deficient number, since it is larger than the sum of its proper divisors (594682834867).

11627410327373 is a wasteful number, since it uses less digits than its factorization.

11627410327373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175756.

The product of its (nonzero) digits is 889056, while the sum is 47.

Adding to 11627410327373 its reverse (37372301472611), we get a palindrome (48999711799984).

The spelling of 11627410327373 in words is "eleven trillion, six hundred twenty-seven billion, four hundred ten million, three hundred twenty-seven thousand, three hundred seventy-three".

Divisors: 1 23 137 3151 24407 151189 561361 3343759 3477347 20712893 76906457 476396539 3690069923 84871608229 505539579451 11627410327373