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667327401 = 3213171572137
BaseRepresentation
bin100111110001101…
…001101110101001
31201111200202002200
4213301221232221
52331313434101
6150115050413
722352121636
oct4761515651
91644622080
10667327401
11312763a54
121675a0a09
13a833cab0
14648b118d
153d8bb986
hex27c69ba9

667327401 has 48 divisors (see below), whose sum is σ = 1106645904. Its totient is φ = 383864832.

The previous prime is 667327393. The next prime is 667327403. The reversal of 667327401 is 104723766.

It can be written as a sum of positive squares in 8 ways, for example, as 120890025 + 546437376 = 10995^2 + 23376^2 .

It is not a de Polignac number, because 667327401 - 23 = 667327393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (667327403) 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 47 ways as a sum of consecutive naturals, for example, 311205 + ... + 313341.

It is an arithmetic number, because the mean of its divisors is an integer number (23055123).

Almost surely, 2667327401 is an apocalyptic number.

It is an amenable number.

667327401 is a deficient number, since it is larger than the sum of its proper divisors (439318503).

667327401 is a wasteful number, since it uses less digits than its factorization.

667327401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 667327401 is about 25832.6808713304. The cubic root of 667327401 is about 873.8689717470.

The spelling of 667327401 in words is "six hundred sixty-seven million, three hundred twenty-seven thousand, four hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 157 221 471 663 1413 1989 2041 2137 2669 6123 6411 8007 18369 19233 24021 27781 34697 36329 83343 104091 108987 250029 312273 326961 335509 472277 1006527 1416831 3019581 4250493 4361617 5703653 13084851 17110959 39254553 51332877 74147489 222442467 667327401