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5216446125 = 325311238321
BaseRepresentation
bin1001101101110110…
…01010011010101101
3111110112122220211100
410312323022122231
541140402234000
62221342313313
7243161026512
oct46673123255
914415586740
105216446125
112237603200
121016b88839
13651953817
14376b25309
15207e5da00
hex136eca6ad

5216446125 has 72 divisors (see below), whose sum is σ = 10336363128. Its totient is φ = 2529120000.

The previous prime is 5216446121. The next prime is 5216446127.

5216446125 is a `hidden beast` number, since 5 + 2 + 1 + 644 + 6 + 1 + 2 + 5 = 666.

5216446125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 121484484 + 5094961641 = 11022^2 + 71379^2 .

It is not a de Polignac number, because 5216446125 - 22 = 5216446121 is a prime.

It is a super-2 number, since 2×52164461252 = 54422620350055031250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5216446125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216446121) 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 71 ways as a sum of consecutive naturals, for example, 116965 + ... + 155285.

It is an arithmetic number, because the mean of its divisors is an integer number (143560599).

Almost surely, 25216446125 is an apocalyptic number.

5216446125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5216446125 is a deficient number, since it is larger than the sum of its proper divisors (5119917003).

5216446125 is a wasteful number, since it uses less digits than its factorization.

5216446125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38364 (or 38340 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5216446125 is about 72224.9688473453. The cubic root of 5216446125 is about 1734.3027342668.

It can be divided in two parts, 52164 and 46125, that added together give a palindrome (98289).

The spelling of 5216446125 in words is "five billion, two hundred sixteen million, four hundred forty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 363 375 495 605 825 1089 1125 1375 1815 2475 3025 4125 5445 9075 12375 15125 27225 38321 45375 114963 136125 191605 344889 421531 574815 958025 1264593 1724445 2107655 2874075 3793779 4636841 4790125 6322965 8622225 10538275 13910523 14370375 18968895 23184205 31614825 41731569 43111125 52691375 69552615 94844475 115921025 158074125 208657845 347763075 474222375 579605125 1043289225 1738815375 5216446125