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3979174957409 is a prime number
BaseRepresentation
bin111001111001111001010…
…011110101000101100001
3112002101221112200221000102
4321321321103311011201
51010143322242114114
612244001401032145
7560325444032201
oct71717123650541
915071845627012
103979174957409
1112a4616587973
12543235785655
1322b308510522
14da843650401
156d792abc2de
hex39e794f5161

3979174957409 has 2 divisors, whose sum is σ = 3979174957410. Its totient is φ = 3979174957408.

The previous prime is 3979174957379. The next prime is 3979174957427. The reversal of 3979174957409 is 9047594719793.

3979174957409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3716231629009 + 262943328400 = 1927753^2 + 512780^2 .

It is a cyclic number.

It is not a de Polignac number, because 3979174957409 - 232 = 3974879990113 is a prime.

It is not a weakly prime, because it can be changed into another prime (3979174957909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1989587478704 + 1989587478705.

It is an arithmetic number, because the mean of its divisors is an integer number (1989587478705).

Almost surely, 23979174957409 is an apocalyptic number.

It is an amenable number.

3979174957409 is a deficient number, since it is larger than the sum of its proper divisors (1).

3979174957409 is an equidigital number, since it uses as much as digits as its factorization.

3979174957409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540101520, while the sum is 74.

The spelling of 3979174957409 in words is "three trillion, nine hundred seventy-nine billion, one hundred seventy-four million, nine hundred fifty-seven thousand, four hundred nine".