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312696811249 = 461212132
BaseRepresentation
bin1001000110011100010…
…11101010111011110001
31002220010101012212102121
410203032023222323301
520110400340424444
6355352333514241
731406630016634
oct4431613527361
91086111185377
10312696811249
1111068321a539
1250729642981
1323644457284
14111c5507c1b
1582021c2084
hex48ce2eaef1

312696811249 has 9 divisors (see below), whose sum is σ = 313635145089. Its totient is φ = 311761281360.

The previous prime is 312696811247. The next prime is 312696811261. The reversal of 312696811249 is 942118696213.

The square root of 312696811249 is 559193.

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 150152375025 + 162544436224 = 387495^2 + 403168^2 .

It is not a de Polignac number, because 312696811249 - 21 = 312696811247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312696811196 and 312696811205.

It is not an unprimeable number, because it can be changed into a prime (312696811247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 257787367 + ... + 257788579.

Almost surely, 2312696811249 is an apocalyptic number.

312696811249 is the 559193-rd square number.

312696811249 is the 279597-th centered octagonal number.

It is an amenable number.

312696811249 is a deficient number, since it is larger than the sum of its proper divisors (938333840).

312696811249 is an frugal number, since it uses more digits than its factorization.

312696811249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 1674 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The spelling of 312696811249 in words is "three hundred twelve billion, six hundred ninety-six million, eight hundred eleven thousand, two hundred forty-nine".

Divisors: 1 461 1213 212521 559193 1471369 257787973 678301109 312696811249