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146761779025 = 5217245072
BaseRepresentation
bin1000100010101110101…
…1110000011101010001
3112000211002011211210101
42020223223300131101
54401032003412100
6151231010132401
713413615352531
oct2105353603521
9460732154711
10146761779025
115727221a874
122453a281101
1310abb71aa84
1471636974c1
153c3e68186a
hex222baf0751

146761779025 has 27 divisors (see below), whose sum is σ = 193362189969. Its totient is φ = 110478468480.

The previous prime is 146761778987. The next prime is 146761779041. The reversal of 146761779025 is 520977167641.

The square root of 146761779025 is 383095.

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 3432905281 + 143328873744 = 58591^2 + 378588^2 .

It is not a de Polignac number, because 146761779025 - 217 = 146761647953 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, 32560822 + ... + 32565328.

Almost surely, 2146761779025 is an apocalyptic number.

146761779025 is the 383095-th square number.

146761779025 is the 191548-th centered octagonal number.

It is an amenable number.

146761779025 is a deficient number, since it is larger than the sum of its proper divisors (46600410944).

146761779025 is an frugal number, since it uses more digits than its factorization.

146761779025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 146761779025 in words is "one hundred forty-six billion, seven hundred sixty-one million, seven hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 4507 7225 22535 76619 112675 383095 1302523 1915475 6512615 20313049 32563075 101565245 345321833 507826225 1726609165 5870471161 8633045825 29352355805 146761779025