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214257938906 = 21118583524081
BaseRepresentation
bin1100011110001011000…
…1001011000111011010
3202111001000010000201202
43013202301023013122
512002300013021111
6242232335114202
721323340301004
oct3074261130732
9674030100652
10214257938906
1182959025790
1235636672962
13172871c010b
14a52793d374
155890058b3b
hex31e2c4b1da

214257938906 has 16 divisors (see below), whose sum is σ = 350623435968. Its totient is φ = 97384545600.

The previous prime is 214257938849. The next prime is 214257938953. The reversal of 214257938906 is 609839752412.

214257938906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146786 + ... + 670866.

It is an arithmetic number, because the mean of its divisors is an integer number (21913964748).

It is a 1-persistent number, because it is pandigital, but 2⋅214257938906 = 428515877812 is not.

Almost surely, 2214257938906 is an apocalyptic number.

214257938906 is a deficient number, since it is larger than the sum of its proper divisors (136365497062).

214257938906 is a wasteful number, since it uses less digits than its factorization.

214257938906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542677.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 214257938906 in words is "two hundred fourteen billion, two hundred fifty-seven million, nine hundred thirty-eight thousand, nine hundred six".

Divisors: 1 2 11 22 18583 37166 204413 408826 524081 1048162 5764891 11529782 9738997223 19477994446 107128969453 214257938906