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1679670432441 = 324320072
BaseRepresentation
bin11000011100010100001…
…010001101001010111001
312221120112010020210021100
4120130110022031022321
5210004431112314231
63323344022402013
7232231541051211
oct30342412151271
95846463223240
101679670432441
11598387196591
12231646290309
13c25139a9b61
145b421797241
152da5aba31e6
hex1871428d2b9

1679670432441 has 9 divisors (see below), whose sum is σ = 2426196240741. Its totient is φ = 1119777696252.

The previous prime is 1679670432431. The next prime is 1679670432467. The reversal of 1679670432441 is 1442340769761.

The square root of 1679670432441 is 1296021.

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

1679670432441 is a `hidden beast` number, since 1 + 6 + 7 + 96 + 70 + 43 + 2 + 441 = 666.

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

It is not a de Polignac number, because 1679670432441 - 25 = 1679670432409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1679670432431) 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, 3672060 + ... + 4104066.

Almost surely, 21679670432441 is an apocalyptic number.

1679670432441 is the 1296021-st square number.

1679670432441 is the 648011-st centered octagonal number.

It is an amenable number.

1679670432441 is a deficient number, since it is larger than the sum of its proper divisors (746525808300).

1679670432441 is an frugal number, since it uses more digits than its factorization.

1679670432441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864020 (or 432010 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1679670432441 in words is "one trillion, six hundred seventy-nine billion, six hundred seventy million, four hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 432007 1296021 3888063 186630048049 559890144147 1679670432441