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312627475161 = 321863772
BaseRepresentation
bin1001000110010100000…
…11001011001011011001
31002212221112202020012100
410203022003023023121
520110230113201121
6355341415434013
731405125456621
oct4431203131331
91085845666170
10312627475161
11110648072291
125070a385909
1323632c8b9c1
14111ba219881
1581eb078026
hex48ca0cb2d9

312627475161 has 9 divisors (see below), whose sum is σ = 451575442591. Its totient is φ = 208417198512.

The previous prime is 312627475087. The next prime is 312627475187. The reversal of 312627475161 is 161574726213.

The square root of 312627475161 is 559131.

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

312627475161 is a `hidden beast` number, since 3 + 1 + 2 + 62 + 74 + 7 + 516 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 244268235225 + 68359239936 = 494235^2 + 261456^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 312627475161 - 217 = 312627344089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312627475361) 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, 1584205 + ... + 1770581.

Almost surely, 2312627475161 is an apocalyptic number.

312627475161 is the 559131-st square number.

312627475161 is the 279566-th centered octagonal number.

It is an amenable number.

312627475161 is a deficient number, since it is larger than the sum of its proper divisors (138947967430).

312627475161 is an frugal number, since it uses more digits than its factorization.

312627475161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372760 (or 186380 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 312627475161 in words is "three hundred twelve billion, six hundred twenty-seven million, four hundred seventy-five thousand, one hundred sixty-one".

Divisors: 1 3 9 186377 559131 1677393 34736386129 104209158387 312627475161