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534052332229 = 133773109139537
BaseRepresentation
bin1111100010101111111…
…11111110001011000101
31220001111000200102101111
413301113333332023011
532222214344112404
61045201254525021
753404212632023
oct7612777761305
91801430612344
10534052332229
11196543689729
1287605066771
133b48cc283a0
141bbc3925713
15dd5a3bd104
hex7c57ffe2c5

534052332229 has 32 divisors (see below), whose sum is σ = 604266518240. Its totient is φ = 468733796352.

The previous prime is 534052332217. The next prime is 534052332239. The reversal of 534052332229 is 922233250435.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4555980004 + 529496352225 = 67498^2 + 727665^2 .

It is a cyclic number.

It is not a de Polignac number, because 534052332229 - 213 = 534052324037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 534052332191 and 534052332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534052332239) 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, 3757549 + ... + 3897085.

It is an arithmetic number, because the mean of its divisors is an integer number (18883328695).

Almost surely, 2534052332229 is an apocalyptic number.

It is an amenable number.

534052332229 is a deficient number, since it is larger than the sum of its proper divisors (70214186011).

534052332229 is a wasteful number, since it uses less digits than its factorization.

534052332229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139769.

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 534052332229 in words is "five hundred thirty-four billion, fifty-two million, three hundred thirty-two thousand, two hundred twenty-nine".

Divisors: 1 13 37 73 109 481 949 1417 2701 4033 7957 35113 52429 103441 139537 294409 1813981 3827317 5162869 10186201 15209533 67117297 132420613 197723929 376889437 562752721 1110295909 4899562681 7315785373 14433846817 41080948633 534052332229