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5180112729 = 341127272
BaseRepresentation
bin1001101001100001…
…00011111101011001
3111101000021222210000
410310300203331121
541102102101404
62214003443213
7242240142321
oct46460437531
914330258700
105180112729
112219047400
121006986509
13647271b7c
14371d88281
15204b83339
hex134c23f59

5180112729 has 45 divisors (see below), whose sum is σ = 8517332901. Its totient is φ = 3135143880.

The previous prime is 5180112673. The next prime is 5180112737. The reversal of 5180112729 is 9272110815.

It is a happy number.

The square root of 5180112729 is 71973.

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

5180112729 is a `hidden beast` number, since 518 + 0 + 112 + 7 + 29 = 666.

It is not a de Polignac number, because 5180112729 - 213 = 5180104537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5180112693 and 5180112702.

It is not an unprimeable number, because it can be changed into a prime (5180112929) 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 44 ways as a sum of consecutive naturals, for example, 7124964 + ... + 7125690.

Almost surely, 25180112729 is an apocalyptic number.

5180112729 is the 71973-rd square number.

5180112729 is the 35987-th centered octagonal number.

It is an amenable number.

5180112729 is a deficient number, since it is larger than the sum of its proper divisors (3337220172).

5180112729 is an frugal number, since it uses more digits than its factorization.

5180112729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The cubic root of 5180112729 is about 1730.2667824511.

Multiplying 5180112729 by its sum of digits (36), we get a square (186484058244 = 4318382).

The spelling of 5180112729 in words is "five billion, one hundred eighty million, one hundred twelve thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 727 891 1089 2181 3267 6543 7997 9801 19629 23991 58887 71973 87967 215919 263901 528529 647757 791703 1585587 2375109 4756761 5813819 7125327 14270283 17441457 42810849 52324371 63952009 156973113 191856027 470919339 575568081 1726704243 5180112729