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4181336764 = 22111947106417
BaseRepresentation
bin1111100100111010…
…0010001010111100
3101210101220220201121
43321032202022330
532030410234024
61530524320324
7205421530123
oct37116421274
911711826647
104181336764
11185628a220
129883a30a4
13518372b87
142b9478aba
151971448e4
hexf93a22bc

4181336764 has 48 divisors (see below), whose sum is σ = 8581547520. Its totient is φ = 1762248960.

The previous prime is 4181336759. The next prime is 4181336827. The reversal of 4181336764 is 4676331814.

It is a self number, because there is not a number n which added to its sum of digits gives 4181336764.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13917 + ... + 92500.

It is an arithmetic number, because the mean of its divisors is an integer number (178782240).

Almost surely, 24181336764 is an apocalyptic number.

4181336764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4181336764 is an abundant number, since it is smaller than the sum of its proper divisors (4400210756).

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

4181336764 is a wasteful number, since it uses less digits than its factorization.

4181336764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106498 (or 106496 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 4181336764 is about 64663.2566764155. The cubic root of 4181336764 is about 1611.0352720642.

The spelling of 4181336764 in words is "four billion, one hundred eighty-one million, three hundred thirty-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 44 47 76 94 188 209 418 517 836 893 1034 1786 2068 3572 9823 19646 39292 106417 212834 425668 1170587 2021923 2341174 4043846 4682348 5001599 8087692 10003198 20006396 22241153 44482306 55017589 88964612 95030381 110035178 190060762 220070356 380121524 1045334191 2090668382 4181336764