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552405332331 = 3335363679103
BaseRepresentation
bin10000000100111011110…
…11000111000101101011
31221210212002002102112000
420002131323013011223
533022311231113311
61101434351222043
754624055564656
oct10023573070553
91853762072460
10552405332331
111a3301455306
128b087517923
1340126322568
141ca451a089d
15e581754056
hex809dec716b

552405332331 has 32 divisors (see below), whose sum is σ = 820915691520. Its totient is φ = 367128951552.

The previous prime is 552405332291. The next prime is 552405332341. The reversal of 552405332331 is 133233504255.

552405332331 is a `hidden beast` number, since 5 + 5 + 240 + 53 + 32 + 331 = 666.

552405332331 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 552405332331 - 210 = 552405331307 is a prime.

It is a super-2 number, since 2×5524053323312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (552405332341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60679326 + ... + 60688428.

It is an arithmetic number, because the mean of its divisors is an integer number (25653615360).

Almost surely, 2552405332331 is an apocalyptic number.

552405332331 is a deficient number, since it is larger than the sum of its proper divisors (268510359189).

552405332331 is a wasteful number, since it uses less digits than its factorization.

552405332331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 552405332331 its reverse (133233504255), we get a palindrome (685638836586).

It can be divided in two parts, 552405 and 332331, that added together give a cube (884736 = 963).

The spelling of 552405332331 in words is "five hundred fifty-two billion, four hundred five million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 353 1059 3177 6367 9103 9531 19101 27309 57303 81927 171909 245781 2247551 3213359 6742653 9640077 20227959 28920231 57958801 60683877 86760693 173876403 521629209 1564887627 20459456753 61378370259 184135110777 552405332331