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146279476225 = 52764932
BaseRepresentation
bin1000100000111011101…
…1111010110000000001
3111222120110122022201201
42020032323322300001
54344040021214400
6151111100501201
713365641014111
oct2101673726001
9458513568651
10146279476225
1157044a50613
122442484a801
1310a42820bbc
1471195cb041
153c1216206a
hex220eefac01

146279476225 has 9 divisors (see below), whose sum is σ = 181388921833. Its totient is φ = 117022051120.

The previous prime is 146279476157. The next prime is 146279476237. The reversal of 146279476225 is 522674972641.

The square root of 146279476225 is 382465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42945516289 + 103333959936 = 207233^2 + 321456^2 .

It is not a de Polignac number, because 146279476225 - 217 = 146279345153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1874079 + ... + 1950571.

Almost surely, 2146279476225 is an apocalyptic number.

146279476225 is the 382465-th square number.

146279476225 is the 191233-rd centered octagonal number.

It is an amenable number.

146279476225 is a deficient number, since it is larger than the sum of its proper divisors (35109445608).

146279476225 is an frugal number, since it uses more digits than its factorization.

146279476225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152996 (or 76498 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 146279476225 in words is "one hundred forty-six billion, two hundred seventy-nine million, four hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 25 76493 382465 1912325 5851179049 29255895245 146279476225