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214005452682 = 23721938311037
BaseRepresentation
bin1100011101001110111…
…0000000111110001010
3202110101102000101202010
43013103232000332022
512001240343441212
6242151315320350
721314153222400
oct3072356007612
9673342011663
10214005452682
118283955408a
1235585bb00b6
1317246ab9b98
14a5021b7470
155877cd303c
hex31d3b80f8a

214005452682 has 48 divisors (see below), whose sum is σ = 524094999840. Its totient is φ = 57926286432.

The previous prime is 214005452681. The next prime is 214005452737. The reversal of 214005452682 is 286254500412.

214005452682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214005452682.

It is not an unprimeable number, because it can be changed into a prime (214005452681) 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 23 ways as a sum of consecutive naturals, for example, 19149933 + ... + 19161104.

It is an arithmetic number, because the mean of its divisors is an integer number (10918645830).

Almost surely, 2214005452682 is an apocalyptic number.

214005452682 is an abundant number, since it is smaller than the sum of its proper divisors (310089547158).

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

214005452682 is a wasteful number, since it uses less digits than its factorization.

214005452682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38311075 (or 38311068 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 214005452682 in words is "two hundred fourteen billion, five million, four hundred fifty-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 38311037 76622074 114933111 229866222 268177259 536354518 727909703 804531777 1455819406 1609063554 1877240813 2183729109 3754481626 4367458218 5095367921 5631722439 10190735842 11263444878 15286103763 30572207526 35667575447 71335150894 107002726341 214005452682