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12854133831 = 37113538677
BaseRepresentation
bin10111111100010101…
…01000010001000111
31020011211022122200210
423332022220101013
5202311124240311
65523300410503
7633352222560
oct137612502107
936154278623
1012854133831
1154a6907000
1225a89a6a33
13129b0bc566
1489d239167
1550373c3a6
hex2fe2a8447

12854133831 has 64 divisors (see below), whose sum is σ = 21953534976. Its totient is φ = 6550727040.

The previous prime is 12854133827. The next prime is 12854133833. The reversal of 12854133831 is 13833145821.

It is a happy number.

12854133831 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 12854133831 - 22 = 12854133827 is a prime.

It is a super-2 number, since 2×128541338312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12854133831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12854133833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1477065 + ... + 1485741.

It is an arithmetic number, because the mean of its divisors is an integer number (343023984).

Almost surely, 212854133831 is an apocalyptic number.

12854133831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12854133831 is a deficient number, since it is larger than the sum of its proper divisors (9099401145).

12854133831 is an equidigital number, since it uses as much as digits as its factorization.

12854133831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8751 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The spelling of 12854133831 in words is "twelve billion, eight hundred fifty-four million, one hundred thirty-three thousand, eight hundred thirty-one".

Divisors: 1 3 7 11 21 33 53 77 121 159 231 363 371 583 847 1113 1331 1749 2541 3993 4081 6413 8677 9317 12243 19239 26031 27951 44891 60739 70543 95447 134673 182217 211629 286341 459881 493801 668129 1049917 1379643 1481403 2004387 3149751 3219167 5058691 7349419 9657501 11549087 15176073 22048257 34647261 35410837 55645601 80843609 106232511 166936803 242530827 389519207 612101611 1168557621 1836304833 4284711277 12854133831