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213717745456 = 24229307189997
BaseRepresentation
bin1100011100001010010…
…0011111111100110000
3202102122100122100121221
43013002210133330300
512000143220323311
6242103000554424
721304060601665
oct3070244377460
9672570570557
10213717745456
1182701106416
1235505782a14
13171cc304417
14a4b5cc3a6c
15585c901671
hex31c291ff30

213717745456 has 40 divisors (see below), whose sum is σ = 417243207920. Its totient is φ = 106045127424.

The previous prime is 213717745433. The next prime is 213717745463. The reversal of 213717745456 is 654547717312.

It is a happy number.

213717745456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2137177454563 (a number of 35 digits) contains 333 as substring.

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, 1029850 + ... + 1219846.

It is an arithmetic number, because the mean of its divisors is an integer number (10431080198).

Almost surely, 2213717745456 is an apocalyptic number.

It is an amenable number.

213717745456 is a deficient number, since it is larger than the sum of its proper divisors (203525462464).

213717745456 is a wasteful number, since it uses less digits than its factorization.

213717745456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190541 (or 190535 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 52.

The spelling of 213717745456 in words is "two hundred thirteen billion, seven hundred seventeen million, seven hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 229 307 458 614 916 1228 1832 2456 3664 4912 70303 140606 189997 281212 379994 562424 759988 1124848 1519976 3039952 43509313 58329079 87018626 116658158 174037252 233316316 348074504 466632632 696149008 933265264 13357359091 26714718182 53429436364 106858872728 213717745456