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43406368899201 = 367211231692
BaseRepresentation
bin10011101111010010101010…
…01100110000000010000001
312200200121102110222021000000
421313221111030300002001
521142132220414233301
6232152335515350213
712100002200000100
oct1167512514600201
9180617373867000
1043406368899201
11129155a0707400
124a50541152369
131b2b284073cb9
14aa0c45370037
15504175060786
hex277a55330081

43406368899201 has 189 divisors, whose sum is σ = 83239258575123. Its totient is φ = 22541647645440.

The previous prime is 43406368899163. The next prime is 43406368899221. The reversal of 43406368899201 is 10299886360434.

The square root of 43406368899201 is 6588351.

It is a perfect power (a square), and thus also a powerful number.

43406368899201 is a `hidden beast` number, since 4 + 3 + 406 + 3 + 68 + 89 + 92 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35875296180801 + 7531072718400 = 5989599^2 + 2744280^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 43406368899201 - 27 = 43406368899073 is a prime.

It is a super-2 number, since 2×434063688992012 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (43406368899221) 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 188 ways as a sum of consecutive naturals, for example, 13697180145 + ... + 13697183313.

Almost surely, 243406368899201 is an apocalyptic number.

43406368899201 is the 6588351-st square number.

43406368899201 is the 3294176-th centered octagonal number.

It is an amenable number.

43406368899201 is a deficient number, since it is larger than the sum of its proper divisors (39832889675922).

43406368899201 is an frugal number, since it uses more digits than its factorization.

43406368899201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 43406368899201 in words is "forty-three trillion, four hundred six billion, three hundred sixty-eight million, eight hundred ninety-nine thousand, two hundred one".