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4066315967 = 74744927527
BaseRepresentation
bin1111001001011111…
…0000111010111111
3101111101111020212002
43302113300322333
531311434102332
61511255132515
7202524054410
oct36227607277
911441436762
104066315967
1117a736940a
1295597413b
134ca5a042c
142a8097807
1518bec4562
hexf25f0ebf

4066315967 has 16 divisors (see below), whose sum is σ = 4756838400. Its totient is φ = 3403534848.

The previous prime is 4066315963. The next prime is 4066315991. The reversal of 4066315967 is 7695136604.

It is not a de Polignac number, because 4066315967 - 22 = 4066315963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066315963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133958 + ... + 161484.

It is an arithmetic number, because the mean of its divisors is an integer number (297302400).

Almost surely, 24066315967 is an apocalyptic number.

4066315967 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4066315967 is a deficient number, since it is larger than the sum of its proper divisors (690522433).

4066315967 is a wasteful number, since it uses less digits than its factorization.

4066315967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28030.

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 4066315967 is about 63767.6718016269. The cubic root of 4066315967 is about 1596.1255168474.

The spelling of 4066315967 in words is "four billion, sixty-six million, three hundred fifteen thousand, nine hundred sixty-seven".

Divisors: 1 7 47 329 449 3143 21103 27527 147721 192689 1293769 9056383 12359623 86517361 580902281 4066315967