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48611871361 = 97222732
BaseRepresentation
bin101101010001011111…
…100100101010000001
311122110211210221010001
4231101133210222001
51244024114340421
634155413040001
73340435042324
oct552137445201
9148424727101
1048611871361
11196861524a9
129508026001
1347792b9831
1424d222c7bb
1513e7a97691
hexb517e4a81

48611871361 has 9 divisors (see below), whose sum is σ = 49139810121. Its totient is φ = 48089551872.

The previous prime is 48611871323. The next prime is 48611871367. The reversal of 48611871361 is 16317811684.

The square root of 48611871361 is 220481.

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 7272848961 + 41339022400 = 85281^2 + 203320^2 .

It is a de Polignac number, because none of the positive numbers 2k-48611871361 is a prime.

It is a super-2 number, since 2×486118713612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48611871367) by changing a digit.

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, 21385521 + ... + 21387793.

Almost surely, 248611871361 is an apocalyptic number.

48611871361 is the 220481-st square number.

48611871361 is the 110241-st centered octagonal number.

It is an amenable number.

48611871361 is a deficient number, since it is larger than the sum of its proper divisors (527938760).

48611871361 is an frugal number, since it uses more digits than its factorization.

48611871361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 2370 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The spelling of 48611871361 in words is "forty-eight billion, six hundred eleven million, eight hundred seventy-one thousand, three hundred sixty-one".

Divisors: 1 97 2273 9409 220481 5166529 21386657 501153313 48611871361