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3142766656225 = 5272506512
BaseRepresentation
bin101101101110111011011…
…111010111101011100001
3102010110000210220212001101
4231232323133113223201
5402442341230444400
610403433404234401
7443025454545400
oct55567337275341
912113023825041
103142766656225
111001926933669
1242910a23ba01
1319a491646191
14ac179b49637
1556b3d2b556a
hex2dbbb7d7ae1

3142766656225 has 27 divisors (see below), whose sum is σ = 4533370058451. Its totient is φ = 2154997446000.

The previous prime is 3142766656219. The next prime is 3142766656243. The reversal of 3142766656225 is 5226566672413.

The square root of 3142766656225 is 1772785.

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., 1131395996241 + 2011370659984 = 1063671^2 + 1418228^2 .

It is not a de Polignac number, because 3142766656225 - 219 = 3142766131937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62022150 + ... + 62072800.

Almost surely, 23142766656225 is an apocalyptic number.

3142766656225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3142766656225 is the 1772785-th square number.

3142766656225 is the 886393-rd centered octagonal number.

It is an amenable number.

3142766656225 is a deficient number, since it is larger than the sum of its proper divisors (1390603402226).

3142766656225 is an frugal number, since it uses more digits than its factorization.

3142766656225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101326 (or 50663 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 55.

The spelling of 3142766656225 in words is "three trillion, one hundred forty-two billion, seven hundred sixty-six million, six hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 50651 253255 354557 1266275 1772785 2481899 8863925 12409495 62047475 2565523801 12827619005 17958666607 64138095025 89793333035 125710666249 448966665175 628553331245 3142766656225