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4006107967 is a prime number
BaseRepresentation
bin1110111011001000…
…0101101100111111
3101100012012101000011
43232302011230333
531201030423332
61501304444051
7201163233031
oct35662055477
911305171004
104006107967
111776386234
12939779627
134bac7c8b4
142a00a3c51
15186a7ee47
hexeec85b3f

4006107967 has 2 divisors, whose sum is σ = 4006107968. Its totient is φ = 4006107966.

The previous prime is 4006107923. The next prime is 4006107983. The reversal of 4006107967 is 7697016004.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4006107967 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4006107997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003053983 + 2003053984.

It is an arithmetic number, because the mean of its divisors is an integer number (2003053984).

Almost surely, 24006107967 is an apocalyptic number.

4006107967 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006107967 is an equidigital number, since it uses as much as digits as its factorization.

4006107967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 4006107967 is about 63293.8225026740. The cubic root of 4006107967 is about 1588.2086238258.

The spelling of 4006107967 in words is "four billion, six million, one hundred seven thousand, nine hundred sixty-seven".