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214115412852 = 223311180231829
BaseRepresentation
bin1100011101101001000…
…1011110101101110100
3202110200001220221202000
43013122101132231310
512002002021202402
6242210244215300
721316656660105
oct3073221365564
9673601827660
10214115412852
1182895628860
12355b699a530
131726380a083
14a512a3c3ac
1558827a3c1c
hex31da45eb74

214115412852 has 48 divisors (see below), whose sum is σ = 605578948800. Its totient is φ = 64883458080.

The previous prime is 214115412793. The next prime is 214115412857. The reversal of 214115412852 is 258214511412.

214115412852 is a `hidden beast` number, since 2 + 1 + 41 + 1 + 541 + 28 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214115412857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90114727 + ... + 90117102.

It is an arithmetic number, because the mean of its divisors is an integer number (12616228100).

Almost surely, 2214115412852 is an apocalyptic number.

214115412852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214115412852 is an abundant number, since it is smaller than the sum of its proper divisors (391463535948).

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

214115412852 is a wasteful number, since it uses less digits than its factorization.

214115412852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180231853 (or 180231845 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The spelling of 214115412852 in words is "two hundred fourteen billion, one hundred fifteen million, four hundred twelve thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 180231829 360463658 540695487 720927316 1081390974 1622086461 1982550119 2162781948 3244172922 3965100238 4866259383 5947650357 6488345844 7930200476 9732518766 11895300714 17842951071 19465037532 23790601428 35685902142 53528853213 71371804284 107057706426 214115412852