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5200611405 = 3511371794759
BaseRepresentation
bin1001101011111101…
…10000100001001101
3111102102212102200020
410311332300201031
541122324031110
62220015052353
7242606316243
oct46576604115
914372772606
105200611405
112229678360
1210118110b9
1364b59b272
143749a2793
15206881d70
hex135fb084d

5200611405 has 64 divisors (see below), whose sum is σ = 9376819200. Its totient is φ = 2439141120.

The previous prime is 5200611373. The next prime is 5200611407. The reversal of 5200611405 is 5041160025.

5200611405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5200611405 - 25 = 5200611373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200611407) 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 63 ways as a sum of consecutive naturals, for example, 1090416 + ... + 1095174.

It is an arithmetic number, because the mean of its divisors is an integer number (146512800).

Almost surely, 25200611405 is an apocalyptic number.

5200611405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5200611405 is a deficient number, since it is larger than the sum of its proper divisors (4176207795).

5200611405 is a wasteful number, since it uses less digits than its factorization.

5200611405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5200611405 is about 72115.2647155926. The cubic root of 5200611405 is about 1732.5461083952.

It can be divided in two parts, 5200 and 611405, that added together give a triangular number (616605 = T1110).

The spelling of 5200611405 in words is "five billion, two hundred million, six hundred eleven thousand, four hundred five".

Divisors: 1 3 5 11 15 33 37 55 111 165 179 185 407 537 555 895 1221 1969 2035 2685 4759 5907 6105 6623 9845 14277 19869 23795 29535 33115 52349 71385 72853 99345 157047 176083 218559 261745 364265 528249 785235 851861 880415 1092795 1936913 2555583 2641245 4259305 5810739 9370471 9684565 12777915 28111413 29053695 31518857 46852355 94556571 140557065 157594285 346707427 472782855 1040122281 1733537135 5200611405