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4167990441 = 32463110049
BaseRepresentation
bin1111100001101110…
…0111110010101001
3101202110210212000100
43320123213302221
532014001143231
61525330300013
7205200222426
oct37033476251
911673725010
104167990441
1118497a39aa
12983a27609
1351567c144
142b77a2d4d
15195daa1e6
hexf86e7ca9

4167990441 has 6 divisors (see below), whose sum is σ = 6020430650. Its totient is φ = 2778660288.

The previous prime is 4167990433. The next prime is 4167990479. The reversal of 4167990441 is 1440997614.

It can be written as a sum of positive squares in only one way, i.e., 4147875216 + 20115225 = 64404^2 + 4485^2 .

It is not a de Polignac number, because 4167990441 - 23 = 4167990433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4167991441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231555016 + ... + 231555033.

Almost surely, 24167990441 is an apocalyptic number.

It is an amenable number.

4167990441 is a deficient number, since it is larger than the sum of its proper divisors (1852440209).

4167990441 is a wasteful number, since it uses less digits than its factorization.

4167990441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463110055 (or 463110052 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4167990441 is about 64559.9755343820. The cubic root of 4167990441 is about 1609.3193683078.

The spelling of 4167990441 in words is "four billion, one hundred sixty-seven million, nine hundred ninety thousand, four hundred forty-one".

Divisors: 1 3 9 463110049 1389330147 4167990441