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214968652672 = 277323006063
BaseRepresentation
bin1100100000110100100…
…0010101001110000000
3202112212112110000201211
43020031020111032000
512010223433341142
6242431044135504
721350060253544
oct3101510251600
9675775400654
10214968652672
1183193222534
12357b4697594
131736b510bc7
14a5940a5a24
1558d2645917
hex320d215380

214968652672 has 32 divisors (see below), whose sum is σ = 434124427680. Its totient is φ = 106011933696.

The previous prime is 214968652643. The next prime is 214968652673. The reversal of 214968652672 is 276256869412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2149686526722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214968652673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11493688 + ... + 11512375.

It is an arithmetic number, because the mean of its divisors is an integer number (13566388365).

Almost surely, 2214968652672 is an apocalyptic number.

It is an amenable number.

214968652672 is an abundant number, since it is smaller than the sum of its proper divisors (219155775008).

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

214968652672 is an equidigital number, since it uses as much as digits as its factorization.

214968652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23006150 (or 23006138 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 214968652672 in words is "two hundred fourteen billion, nine hundred sixty-eight million, six hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 23006063 46012126 92024252 184048504 368097008 736194016 1472388032 1679442599 2944776064 3358885198 6717770396 13435540792 26871081584 53742163168 107484326336 214968652672