Search a number
-
+
5220516674025 = 325219280172
BaseRepresentation
bin100101111110111111100…
…0010101011100111101001
3200111002001210010211200100
41023331333002223213221
51141013104232032100
615034134450100013
71046112161364252
oct113757702534751
920432053124610
105220516674025
111733010622604
1270393057a609
132bb3a5b30733
14140962605b29
1590be6e70400
hex4bf7f0ab9e9

5220516674025 has 81 divisors (see below), whose sum is σ = 9869791177701. Its totient is φ = 2637405722880.

The previous prime is 5220516674011. The next prime is 5220516674029. The reversal of 5220516674025 is 5204766150225.

The square root of 5220516674025 is 2284845.

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

5220516674025 is a `hidden beast` number, since 5 + 220 + 5 + 16 + 6 + 7 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21076942041 + 5199439731984 = 145179^2 + 2280228^2 .

It is a de Polignac number, because none of the positive numbers 2k-5220516674025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5220516674029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 651176817 + ... + 651184833.

Almost surely, 25220516674025 is an apocalyptic number.

5220516674025 is the 2284845-th square number.

5220516674025 is the 1142423-rd centered octagonal number.

It is an amenable number.

5220516674025 is a deficient number, since it is larger than the sum of its proper divisors (4649274503676).

5220516674025 is an frugal number, since it uses more digits than its factorization.

5220516674025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 5220516674025 in words is "five trillion, two hundred twenty billion, five hundred sixteen million, six hundred seventy-four thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 3249 4275 5415 8017 9025 16245 24051 27075 40085 72153 81225 120255 152323 200425 360765 456969 601275 761615 1370907 1803825 2284845 2894137 3808075 6854535 8682411 11424225 14470685 26047233 34272675 43412055 64272289 72353425 130236165 192816867 217060275 321361445 578450601 651180825 964084335 1221173491 1606807225 2892253005 3663520473 4820421675 6105867455 10990561419 14461265025 18317602365 23202296329 30529337275 54952807095 69606888987 91588011825 116011481645 208820666961 274764035475 348034444935 580057408225 1044103334805 1740172224675 5220516674025