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3968037917 is a prime number
BaseRepresentation
bin1110110010000011…
…0111010000011101
3101020112120012201022
43230200313100131
531111304203132
61453424453525
7200221523444
oct35440672035
911215505638
103968037917
111756943688
12928a7a2a5
134b311063c
14298dd3d5b
1518355ee12
hexec83741d

3968037917 has 2 divisors, whose sum is σ = 3968037918. Its totient is φ = 3968037916.

The previous prime is 3968037869. The next prime is 3968037943. The reversal of 3968037917 is 7197308693.

It is a happy number.

3968037917 is digitally balanced in base 2 and base 3, because in such bases 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., 3328251481 + 639786436 = 57691^2 + 25294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3968037917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3968037967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1984018958 + 1984018959.

It is an arithmetic number, because the mean of its divisors is an integer number (1984018959).

Almost surely, 23968037917 is an apocalyptic number.

It is an amenable number.

3968037917 is a deficient number, since it is larger than the sum of its proper divisors (1).

3968037917 is an equidigital number, since it uses as much as digits as its factorization.

3968037917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1714608, while the sum is 53.

The square root of 3968037917 is about 62992.3639578640. The cubic root of 3968037917 is about 1583.1616865771.

The spelling of 3968037917 in words is "three billion, nine hundred sixty-eight million, thirty-seven thousand, nine hundred seventeen".