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12355434025 = 52112432472
BaseRepresentation
bin10111000000111000…
…01111011000101001
31011220001221002011121
423200130033120221
5200300442342100
65402003455241
7615115312354
oct134034173051
934801832147
1012355434025
115270358500
122489987521
13121b9a120c
14852d0129b
154c4a7e51a
hex2e070f629

12355434025 has 81 divisors (see below), whose sum is σ = 17615521623. Its totient is φ = 8590058400.

The previous prime is 12355434011. The next prime is 12355434031. The reversal of 12355434025 is 52043455321.

The square root of 12355434025 is 111155.

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

It can be written as a sum of positive squares in only one way, i.e., 4447956249 + 7907477776 = 66693^2 + 88924^2 .

It is not a de Polignac number, because 12355434025 - 221 = 12353336873 is a prime.

It is a super-2 number, since 2×123554340252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 262881552 + ... + 262881598.

Almost surely, 212355434025 is an apocalyptic number.

12355434025 is the 111155-th square number.

12355434025 is the 55578-th centered octagonal number.

It is an amenable number.

12355434025 is a deficient number, since it is larger than the sum of its proper divisors (5260087598).

12355434025 is an equidigital number, since it uses as much as digits as its factorization.

12355434025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 12355434025 its reverse (52043455321), we get a palindrome (64398889346).

The spelling of 12355434025 in words is "twelve billion, three hundred fifty-five million, four hundred thirty-four thousand, twenty-five".

Divisors: 1 5 11 25 43 47 55 121 215 235 275 473 517 605 1075 1175 1849 2021 2209 2365 2585 3025 5203 5687 9245 10105 11045 11825 12925 20339 22231 24299 26015 28435 46225 50525 55225 86903 94987 101695 111155 121495 130075 142175 223729 244541 267289 434515 474935 508475 555775 607475 955933 1044857 1118645 1222705 1336445 2172575 2374675 4084441 4779665 5224285 5593225 6113525 6682225 10515263 11493427 20422205 23898325 26121425 44928851 52576315 57467135 102111025 224644255 262881575 287335675 494217361 1123221275 2471086805 12355434025