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2553432214401 = 321983179907857
BaseRepresentation
bin100101001010000100011…
…010111000101110000001
3100001002212002012021212100
4211022010122320232001
5313313412121330101
65233010334021013
7352323300465225
oct45120432705601
910032762167770
102553432214401
118a49a4a0a862
12352a57347769
13156a31546853
148b830198785
1546649972e86
hex252846b8b81

2553432214401 has 24 divisors (see below), whose sum is σ = 3929187618720. Its totient is φ = 1593263972736.

The previous prime is 2553432214393. The next prime is 2553432214451. The reversal of 2553432214401 is 1044122343552.

It is a happy number.

2553432214401 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 4 + 32 + 214 + 401 = 666.

It is not a de Polignac number, because 2553432214401 - 23 = 2553432214393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2553432214451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89939736 + ... + 89968121.

It is an arithmetic number, because the mean of its divisors is an integer number (163716150780).

Almost surely, 22553432214401 is an apocalyptic number.

It is an amenable number.

2553432214401 is a deficient number, since it is larger than the sum of its proper divisors (1375755404319).

2553432214401 is a wasteful number, since it uses less digits than its factorization.

2553432214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179907965 (or 179907962 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2553432214401 its reverse (1044122343552), we get a palindrome (3597554557953).

The spelling of 2553432214401 in words is "two trillion, five hundred fifty-three billion, four hundred thirty-two million, two hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 19 57 83 171 249 747 1577 4731 14193 179907857 539723571 1619170713 3418249283 10254747849 14932352131 30764243547 44797056393 134391169179 283714690489 851144071467 2553432214401