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5219012214 = 23213731092803
BaseRepresentation
bin1001101110001001…
…11100111001110110
3111110201111021211200
410313010330321312
541142031342324
62221513313330
7243221605023
oct46704747166
914421437750
105219012214
112238aa6139
121017a05846
13652341810
143771d254a
152082b8ec9
hex13713ce76

5219012214 has 96 divisors (see below), whose sum is σ = 12462209760. Its totient is φ = 1568761344.

The previous prime is 5219012213. The next prime is 5219012219. The reversal of 5219012214 is 4122109125.

5219012214 is a `hidden beast` number, since 521 + 9 + 0 + 122 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219012213) 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 47 ways as a sum of consecutive naturals, for example, 1860537 + ... + 1863339.

It is an arithmetic number, because the mean of its divisors is an integer number (129814685).

Almost surely, 25219012214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5219012214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231104880).

5219012214 is an abundant number, since it is smaller than the sum of its proper divisors (7243197546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5219012214 is a wasteful number, since it uses less digits than its factorization.

5219012214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5219012214 is about 72242.7312191337. The cubic root of 5219012214 is about 1734.5870686913.

The spelling of 5219012214 in words is "five billion, two hundred nineteen million, twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 109 117 146 218 219 234 327 438 654 657 949 981 1314 1417 1898 1962 2803 2834 2847 4251 5606 5694 7957 8409 8502 8541 12753 15914 16818 17082 23871 25227 25506 36439 47742 50454 71613 72878 103441 109317 143226 204619 206882 218634 305527 310323 327951 409238 611054 613857 620646 655902 916581 930969 1227714 1833162 1841571 1861938 2660047 2749743 3683142 3971851 5320094 5499486 7943702 7980141 11915553 15960282 22303471 23831106 23940423 35746659 44606942 47880846 66910413 71493318 133820826 200731239 289945123 401462478 579890246 869835369 1739670738 2609506107 5219012214