Search a number
-
+
5415332521025 = 5272171301199877
BaseRepresentation
bin100111011001101101011…
…1110001010010001000001
3201011200220211112021012002
41032303122332022101001
51202211100111133100
615303434105513345
71066146662640500
oct116633276122101
921150824467162
105415332521025
1117a86a2037939
1273563baa2855
133038820c4a4b
1414a163daa837
1595cea2142d5
hex4ecdaf8a441

5415332521025 has 72 divisors (see below), whose sum is σ = 8277230207736. Its totient is φ = 3492233472000.

The previous prime is 5415332520967. The next prime is 5415332521037. The reversal of 5415332521025 is 5201252335145.

5415332521025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 968594525584 + 4446737995441 = 984172^2 + 2108729^2 .

It is not a de Polignac number, because 5415332521025 - 220 = 5415331472449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5415332521025.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26993387 + ... + 27193263.

It is an arithmetic number, because the mean of its divisors is an integer number (114961530663).

Almost surely, 25415332521025 is an apocalyptic number.

It is an amenable number.

5415332521025 is a deficient number, since it is larger than the sum of its proper divisors (2861897686711).

5415332521025 is a wasteful number, since it uses less digits than its factorization.

5415332521025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201219 (or 201207 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 5415332521025 in words is "five trillion, four hundred fifteen billion, three hundred thirty-two million, five hundred twenty-one thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 425 595 833 1225 1301 2975 4165 6505 9107 20825 22117 32525 45535 63749 110585 154819 199877 227675 318745 552925 774095 999385 1083733 1399139 1593725 3397909 3870475 4996925 5418665 6995695 9793973 16989545 23785363 27093325 34978475 48969865 84947725 118926815 166497541 244849325 260039977 594634075 832487705 1300199885 1820279839 4162438525 4420679609 6500999425 9101399195 12741958873 22103398045 30944757263 45506995975 63709794365 110516990225 154723786315 216613300841 318548971825 773618931575 1083066504205 5415332521025